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During its daily course above the horizon the Sun appears to describe a circular arc. Supplying in his mind's eye the missing portion of the daily circle, the Greek astronomer could imagine that his real eye was at the apex of a cone, the surface of which was defined by the Sun's rays at different times of the day and ... | 677.169 | 1 |
This meets the definition of the tangent of the angle whose opposite side is -24 and whose
adjacent side is +7. Notice how this falls into quadrant IV = Since this ratio is the
tangent, by applying arctangent on a calculator, we find that the angle is -73.73979 degrees.
The polar form can be written in two ways:
25/-73... | 677.169 | 1 |
Question 290049: Solve for all possible triangles that satisfy a=9, b=13, measure of angle b=67 degrees. Round all values to the nearest tenth.
I know it is a lot of work, so i did part of it already :]
Since you know 2 sides and an angle. I can use law of sine to find a second angle. Since all the interior angles of a... | 677.169 | 1 |
The Colour Field
Deconstructing ColourThu, 02 May 2013 14:26:14 +0000en-UShourly1 and Display
02 May 2013 14:26:14 +0000Melinda_1788 – physically, it is one of the strongest shapes in construction- think the pyramids.
Without going into a maths lesson, here are three most commonly used triangles that achieve a balanced... | 677.169 | 1 |
But where the point that they do intersect – and I'm doing it really horrible – The point at which they do intersect would be equidistant between those two points, right? And another way of thinking about it, it would be another point that's equidistant between the two points, because when you do it first with P and yo... | 677.169 | 1 |
in Triangle?
Hi!
Well, my problem is the following:
I have a point p(x|y) and three points a,b,c forming a triangle. How can I check, if the point p is in the triangle??
Maybe someone has a good, working function?
Please help!
TheBlob!
Re: Point in Triangle?
I have a simple method :
TEST the point P is in triangle ABC ... | 677.169 | 1 |
Six Frequency Figures
There are two Six Frequency Figures, the Great Rhombicuboctahedron and the Great Rhombicosidodecahedron. Each shape is made by cutting the line segments of the Two Frequency Figures into three parts in such a way that when all of the new points are connected all sides are of an equal length. Like ... | 677.169 | 1 |
Glide Reflections and Glide Reflective Symmetry
A last type of symmetry is glide reflective symmetry which results from the transformation calledglide reflection.
A glide reflection is actually a combination of a reflection and
a translation. Whether the reflection happens first or second
does not matter. The figure th... | 677.169 | 1 |
MODERATORS
Hi, hoping for a quick answer, I'm trying to employ this technique and for the life of me I can't remember what it's called, and google is being an annoying little... well, I turn to you Reddit.
Basically, I have an area, which in this case is a circle but that's arbitrary. It's filled with points, or "stati... | 677.169 | 1 |
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and ... | 677.169 | 1 |
This (hands-on) demo illustrates how a carpenter can draw an ellipse on wood or a sheet of wall board using simple tools. A jig can be used to demonstrate the technique and there are software animations to illustrate the use of the jig. — "A Carpenter Draws an Ellipse", mathdemos.gcsu.edu
An ellipse (shaded green) is a... | 677.169 | 1 |
0 00 From this table we can plot a smooth graph such as the one shown below Like the circle it is easy to generalize Equation 9 1 7 to the case of ellipses not centered at the origin but still with horizontal major axis and vertical minor
Videos
Ellipses (Part I) Basic introduction to Ellipses including general formula... | 677.169 | 1 |
A quadrilateral, sometimes also known as a tetragon or quadrangle ( If the points do not lie in a plane, the quadrilateral is called a skew quadrilateral. — "Quadrilateral -- from Wolfram MathWorld",
A quadrilateral derives directly from a Quadrangle by the regrouping of the tops in two pairs. For each pair, the two to... | 677.169 | 1 |
Quadrilateral Rap A rap to teach you about quadrilaterals. QUADRILATERAL RAP LYRICS Quadrilateral is a four sided polygon Let's draw some up so pick up yo crayons We got one side, two sides, three sides, four Let's start out with a square and then well talk more More, more Talk more More, more All squares have four All... | 677.169 | 1 |
Flag this because it ...
In triangle PQR, sides PQ and QR have lengths 5 and 11, respectively. Triangle PQR has the same perimieter as equilateral triangle STU. If the lengths of side ST is an integer, which of the following could be the length of side PR?
Answers
You have not listed the possible lengths, but we can el... | 677.169 | 1 |
Therefore ED equals GD. And DF is common, therefore the two sides ED and DF equal the two sides GD and DF, and the angle EDF equals the angle GDF, therefore the base EF equals the base GF, the triangle DEF equals the triangle DGF, and the remaining angles equal the remaining angles, namely those opposite the equal side... | 677.169 | 1 |
Mathematical Proofs: The Cosine Rule
How many times have your teacher given you a formula to use in class? How many times have you wondered where it came from? Here I will show you one of the most fantastic formula used in Mathematics! The Cosine Rule. A step by step guide as to how the Cosine rule was derived. Feel fr... | 677.169 | 1 |
Solid Angle
Solid Angle
Hi, could someone explain to me the concept and calculation of Solid Angle? I don't think we've actually covered it in our Vector Calculus lectures and I have a question to do on it!!! Tried searching on the web, but not much information and I really don't understand it.
Also, my question is:
"C... | 677.169 | 1 |
Mindset Learn is proudly hosted by
About this topic
Triangles have fascinated people since ancient times. We see the triangle shape being used in many buildings and constructions in the world around us. In this series of lessons, we study the properties of triangles and find ways of identifying triangles by their prope... | 677.169 | 1 |
The ratios between sides of a triangle: sine {sin} (the side opposite the angle over the hypotenuse), cosine {cos} (the side adjacent to the angle over the hypotenuse), and tangent {tan} (opposite over adjacent); and their inverses: secant {sec} (hypotenuse over opposite), cosecant {cosec} (hypotenuse over adjacent), a... | 677.169 | 1 |
Examples triangle's examples
Our Triangle team will keep you updated on events, new construction, These upscale apartment homes are part of an impressive 22-acre mixed-use community, also named, The Triangle, that will unfold to include 529 apartment homes; over 120,000 square feet of retail, commercial, restaurant. — ... | 677.169 | 1 |
11/27 Triangle Singles Club Dance in Raleigh at Raleigh, North Carolina, United States. Come join us for a fun night of dancing and mingling with other. — "11/27 Triangle Singles Club Dance Raleigh - 11/27 Triangle",
Pascal's triangle ( ) n. A triangle of numbers in which a row represents the coefficients of the binomi... | 677.169 | 1 |
DBSK Triangle Live Live Performance of the Korean band DBSK Ft. BOA and THE TRAX
The mystery of the Bermuda triangle The disappearance of US Navy flight 19 is still the most astounding mystery associated with the Bermuda triangle. Could it be solved by using modern means? Taken from TV show: "The Bermuda Triangle" avai... | 677.169 | 1 |
TETRAHEDRON (Gr. TErpa-, four, Spa, face or base), in geometry, a solid bounded by four triangular faces. It consequently has four vertices and six edges. If the faces be all equal equilateral triangles the solid is termed the "regular" tetrahedron. This is one of the Platonic solids, and is treated in the article Poly... | 677.169 | 1 |
[Thinking "half of a side" in terms of perpendicular bisectors leads us to perpendicular bisectors of chords of the circumcircle. Thinking "half of an angle" suggests that angle bisectors could be used to identify the incircle and to locate the incenter. From half of a side or half of an angle, we get important ideas t... | 677.169 | 1 |
I'm trying to write a procedure or function to find the direction in which a 2D triangle points. The triangle is assumed to be isosceles. While I can see the basic outline of what I want to do, making this into a procedure/function is proving harder. This is very basic Mathematica programming, I think... :(
Suppose tha... | 677.169 | 1 |
...that a triangle has 180 degrees is that back then when them things were assigned, a year only had 360 days; Xmas came 5 1/4 days earlier.
Methinks we morons here should team up and march on the "Mathematics High Place" demanding that this be changed to 400; much easier to handle 100 degrees quadrants (plus create em... | 677.169 | 1 |
Numberplay: Heights of a Triangle
Welcome to Numberplay — the week-long game of debate and discovery that also happens to be about math.
Here's how it works. Each week we take a simple math puzzle, solve it, and then explore the standard solution. Did the solution really work? Are there other solutions that would be ju... | 677.169 | 1 |
Products of vectors.
The multiplication of vectors leads to two types of products, the dot product and the cross product.
The dot or scalar product of two vectors a and b, written a·b, is a real number |a||b| cos (a,b), where (a,b) denotes the angle between the directions of a and b. Geometrically,
If a and b are at ri... | 677.169 | 1 |
of the triangle with the base, and apply the Pythagorean Theorem. This applet
shows in a dynamic way how the theorem works.
Hold any vertex and move it around to see how the values in the
equation are updated, and how they comply with the theorem.
There are problems in which to find the area of the triangle, you can't ... | 677.169 | 1 |
Current location in this text. Enter a Perseus citation to go to another section or work. Full search
options are on the right side and top of the page.
PROPOSITION 2.
If the square on a straight line be five times the square on a segment of it, then, when the double of the said segment is cut in extreme and mean ratio... | 677.169 | 1 |
The student uses geometric concepts and procedures in a variety of situations.
3.1
The student recognizes geometric shapes and compares their properties in a variety of situations.
3.1.A1
solves real-world problems by applying the properties of (2.4.A1g):
3.1.A1A
plane figures (circles, squares, rectangles, triangles, ... | 677.169 | 1 |
The common flat rotation is done around the z-axis so z-values for the rotated points will remain unchanged but x- and -values may change. I said "may change" since a 360º rotation around any angle takes us to the same point as before.
To figure out how the x and y values change in a rotation around the z-axis we look ... | 677.169 | 1 |
In computer graphics, objects are often represented as triangulated polyhedra in which the vertices are associated not only with three spatial coordinates but also with other graphical information necessary to render the object correctly, such as colors, reflectance properties, textures, and surface normals; these prop... | 677.169 | 1 |
Diagrams, week 6
This week, we were discussing definitions. In particular, we were trying to decide whether we needed to include the measures of the congruent angles in our definition of a rectangle, or whether simply stating that they are congruent would be good enough.
That is, can we define a rectangle as an equiang... | 677.169 | 1 |
To construct a tetrahedron, simply insert the right-hand projection of one unit into the left-hand pocket of another. Now, add a third unit to join the first two, forming one of the tetrahedral frame's four points and three of its six edges. Use the remaining three units to complete the tetrahedron.
Dodecahedron
Now, t... | 677.169 | 1 |
In response to question 2 (is the answer 3?). If that is the right answer, I drew a triangle A, top D, and E with B as AD bisector and C as base bisector then formed the rest of the internal triangle that began with the line BC. So now we have an upside down triangle inscribed in the right side up triangle, forming 4 s... | 677.169 | 1 |
Coincidence is easily checked by testing if a point on one line, say P0, also lies on the other line Q(t). That is, there exists a number t0 such that: P0= Q(t0) = Q0+ t0v. If w = (wi) = P0 – Q0, then this is equivalent to the condition that w = t0v for some t0 which is the same as for all i. In 2D, this is another per... | 677.169 | 1 |
The cross product between two lines give the intersection point: x = cross(l,m).
Intersection of two lines (l and m) is a point. The intersection point x is in the line l: dot(x,l) = 0. Also, the point x is in the line m: dot(x,m) = 0. Therefore, the cross product of l, m gives the intersection point x.
Uncertainty and... | 677.169 | 1 |
Remember to analyze your incorrect questions from Veritas Prep's question bank. Use this data to understand your strengths and weaknesses and focus your GMAT prep on the area that need it most!
Vivian Kerr is a regular contributor to the Veritas Prep blog, providing tips and tricks to help students better prepare for t... | 677.169 | 1 |
Information about vertex (geometry)
Definition
For each of those figures, a vertex is a point formed by the intersection of faces of the object: a vertex of a polygon is the point of intersection of two polygon edges, a vertex of a polyhedron is the point of intersection of three or more polyhedron facets, and a vertex... | 677.169 | 1 |
My Three Triangle Puzzle
What do these three triangles have in common, besides a side of
seven? You might want to think about it before you go on to the next
paragraph.
Comments: Unless you recognize the second and third triangles,
the above question seems a little difficult to answer. The areas are all
different, and ... | 677.169 | 1 |
Ratios in Right Triangles
In this lesson our instructor talks about ratios in right triangles. First she talks about trigonometric ratios of sine, cosine, and tangent. Then she discusses trig function, and inverse trig functions. She finishes with a lecture on SOHCAHTOA. Four extra example videos round up this lesson.
... | 677.169 | 1 |
Sine- Used to find the OPPOSITE or HYPOTENUSE. A good way to remember this is the acronym, SOH.
Cosine- Used to find the ADJACENT or HYPOTENUSE. A good way to remember this is the acronym, CAH.
Tangent- Used to find the OPPOSITE or ADJACENT. A good way to remember this is the acronym, TOA.
It can be difficult to rememb... | 677.169 | 1 |
The 0 on the vernier scale is spaced the distance of exactly one r u l e r m a r k (in this case, one tenth of a n inch) from the left hand end of the vernier. Therefore the 0 is a t a position between r u l e r m a r k s which is comparable to the position of the end of the bar. In other words, the 0 on the vernier i ... | 677.169 | 1 |
Solution to puzzle 86: Folded card
A piece of card has the shape of a triangle, ABC, with BCA a right angle. It is folded once so that:
C coincides with C', which lies on AB; and
the crease extends from Y on BC to X on AC.
If BC = 115 and AC = 236, find the minimum possible value of the area of YXC'.
We will pursue the... | 677.169 | 1 |
The diagram you drew is considered a hexagon but often the way mathematics grows is when an intuitive/familiar concept evolves to get insight into a broader collection of ideas. This has been especially true for geometry. The critical feature for a polygon is that straight line segments join up the the points involved.... | 677.169 | 1 |
Polar Coordinates Game
The game helps students to understand polar coodinates.
A point in polar coordinates is defined by an angle[0° ,360°) and distance from a fixed point
(center of the polar coordinate system).
Game Instructions:
You have to locate the ship on the map in polar coordinates: set an angle and distance ... | 677.169 | 1 |
i just made these because that the last time i was working on a 3d game, i was wondering how to do 3d distance and i was making everything all complicated and stuff but its really not that hard. ill try to make a picture that demonstrates exactly how all of it works if some of you do not get it... pythagorian theorum a... | 677.169 | 1 |
Jon's Answer:
Gavin...are the measures to your triangle in cm's If they are...then the formula you should commit to memory...write it on your hand...or something....is area(of a RIGHT ONLY triangle!!) = one-half base times height[in words] but in an equation...a = ½(b × h), If its not a RIGHT TRIANGLE...then its anothe... | 677.169 | 1 |
Look at where the lines intersect. There are 4 angles, RIGHT! We said Angle A was the larger angle. NOTICE...right across Angle A is another angle with is very similar. The angle is right across and under Angle B. Let's label that Angle D.
Step 6
Since Angle D is under Angle B notice that being next to one another they... | 677.169 | 1 |
KaleidoHedron. The symmetries of an icosahedron are
used to replicate a pattern across the surface of a sphere.
What are the symmetries of an icosahedron? Pick any pair of adjoining vertices,
and call them v1 and v2. You can rotate the icosahedron so that any of its
12 vertices ends up at the original position of v1, a... | 677.169 | 1 |
CA Geometry: 15-16, similar triangles
Transcript
We're on problem 15, it asks us, if triangle ABC and triangle XYZ or two triangles such that, okay let me draw these two triangles. So, triangle ABC, maybe it look something like that. ABC and then we have triangle XYZ and we want to prove that they are similar. So, simi... | 677.169 | 1 |
Angles/323897: The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles. 1 solutions Answer 231783 by nyc_function(2733) on 2010-07-19 23:52:08 (Show Source):
Graphs/323879: How many liters of a 40%-alcohol solution must be mixed with 10 liters of a solution that is... | 677.169 | 1 |
In summary, the equation means a point that is both (a) on the plane in which triangle A lies and is (b) on a ray in which the edge of a 2nd triangle B lies.
I thought that in 4x4 matrices a tranlation was possible through multiplication... but in truth I haven't even got an negation function.... Nor had I thought abou... | 677.169 | 1 |
The n-gonal trapezohedron, antidipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism. Its 2n faces are congruentkites (also called trapezia in the US, trapezoids in Britain, or deltoids). The faces are symmetrically staggered.
The n-gon part of the name does not reference the faces here but arrangemen... | 677.169 | 1 |
Two circles of radii 9 and 17 centimetres are enclosed within a
rectangle with one side of length 50 cm. The two circles touch each
other, and each touches two adjacent sides of the rectangle. Find the
perimeter of the rectangle.
Given a 3,4,5 triangle, and inside it, inscribed, two circles of equal
radii. Both circles... | 677.169 | 1 |
Rotation Math
posted on: 21 Jun, 2012 | updated on: 10 Sep, 2012
In English, Rotation means to turn around an object around a center. When an object rotates around a centric Point then it is called as rotation. When any object rotates in three dimensional space about an imaginary line we call it as rotation. Just like ... | 677.169 | 1 |
Pages
2.19.2013
Made 4 Math: Distance Formula Project
Earlier in the year I talked about teaching slope with the method somebody later tagged "stack and subtract". This worked so well for me that I decided to use the method in my geometry class for the distance formula. We did a lot of practice and I decided I wanted t... | 677.169 | 1 |
Pythagorean Theorem
This a program that can solve geometric problems based on Pythagorean Theorem. We suppose everybody is already familiar with the above Theorem. However, some of your kids may not have learned this theorem yet. So, let us list the formula here. By referring to a right angled triangle ABC, if the side... | 677.169 | 1 |
I was droodling a bit and a given moment I drew the following construction:
It appears that the three blue intersections are collinear (red line), no matter how I draw the construction lines. If this is always true, I assume that this a know fact [otherwise I have my first theorem! :-) erm conjecture, since I can't pro... | 677.169 | 1 |
Modern computers use a variety of techniques.[3] One common method, especially on higher-end processors with floating point units, is to combine a polynomial or rationalapproximation (such as Chebyshev approximation, best uniform approximation, and Padé approximation, and typically for higher or variable precisions, Ta... | 677.169 | 1 |
Symmetry is a fundamental part of geometry, nature, and shapes. It creates patterns that help us organize our world conceptually. We see symmetry everyday but often don't realize it. People use concepts of symmetry, including translations, rotations, reflections, and their geometric figures and patterns as part of thei... | 677.169 | 1 |
How to Find Height of Tree If Elevation and Distance is Given?
We can calculate the height of Tree mathematically if we have information about distance of tree from itself and angle of elevation. If we have these two factors then we can measure height of tree. Let us see how to find height of tree if elevation and dist... | 677.169 | 1 |
Distance Formula
Dr. Eaton ends this section on Radical Expressions with the Distance Formula. After studying the similarity to the Pythagorean Theorem, you will learn how to use the formula in finding missing coordinates. Four extra comprehensive examples make sure you can apply your new found knowledge.
This content ... | 677.169 | 1 |
Here is the triangle:
A median is a line segment drawn from the vertex of a triangle to
the midpoint of the opposite side. Since there are three vertices
of a triangle, and three sides, there are THREE medians, not just one.
Here is the median from J to KL:
Here is the median from K to JL
Here is the median from L to J... | 677.169 | 1 |
to arrange a given number of nodes evenly on a sphere, for any of several definitions of even distribution (see, for example, Thomson problem
Thomson problem
The Thomson problem is to determine the minimum energy configuration of N electrons on the surface of a sphere that repel each other with a force given by Coulomb... | 677.169 | 1 |
Wednesday 10/7/98
Signed (Positive and Negative) Ratios are key tools in understanding
parallels, setting up coordinates, etc.
Reading
Bix, Chapter 1, Section 1, pp. 21-38.
Assignment 3 Due
Midpoint Quadrilaterals, cubes and others.
Math 487 Lab #2 Wednesday 10/7/98
Topic: Perpendicular Bisectors, Circles and Distance
... | 677.169 | 1 |
Secant right-hand side
In geometry, the relative position of two lines, or a line and a Curve, can be qualified by the adjective secant . This one comes from the Latin secare , which means to cross. In mathematical terms, a line is secant on another line, or more generally with a curve, when it has a nonempty intersect... | 677.169 | 1 |
Fifth graders produce a curved stitching of their choice. In this symmetry lesson, 5th graders use a compass to construct a circle and bisect angles, and a protractor to measure degree intervals. Students then create a curved stitching using a needle and thread.
A 14-page packet on biseting angles, bisecting segments, ... | 677.169 | 1 |
Your questions at the end really get to the heart of mathematical exploration. Once we settle on one (a few?) measures of equilateralness, then the real fun begins: we can start exploring the consequences of that measure by asking question like "What kinds of triangles have the same equilateralness?" Or, "Are there som... | 677.169 | 1 |
The dots are filled in because there are square brackets on each end of the interval meaning the endpoints are included. Contrast this with parentheses on the end of the interval which excludes the end point, and the graph would be an open circle rather than a filled in dot.
John
Triangles/232760: A triangle has a peri... | 677.169 | 1 |
Querying
Certain transformations, such as shearing and scaling, can cause
Ellipses to become non-elliptical.
bool is_quadratic(void)
Inline const function
Returns true, because the equation
for an ellipse in the x-y plane with its center at the
origin is the quadratic equation
x^2/a^2 + y^2/b^2 = 1
where a is half the ... | 677.169 | 1 |
eight faces. In its most familiar form as one of the Platonic solids,
each face is an equilateral triangle.
An octahedral
pyramid has a seven-sided heptagon as its base. To get an integer
heptagon, adjacent vertices of the heptagon must be lie on a circle and
be separated by the following distances: 10, 16, 16, 10, 16,... | 677.169 | 1 |
[Test.3]Euclid's elegant proof of the Pythagorean theorem depends upon the
diagram of Figure below, sometimes referred to as the Fanciscan's cowl
of as the bride's chair. A precis of the proof runs as ? (AC)2
= 2¡âJAB = 2¡âCAD = ADKL. Similarly, (BC)2 and so on.
Fill in the detail of this proof.
Question: What is the ... | 677.169 | 1 |
Question 206886: I Found 2 solutions by jim_thompson5910, Edwin McCravy:Answer by jim_thompson5910(28598) (Show Source):
You can put this solution on YOUR website! If ABC is similar to DEF, then the corresponding sides form a ratio. In other words, the ratio of AB to DE is the same as the ratio of BC to EF. Similarly, ... | 677.169 | 1 |
You will use the distance formula to find the distance from A to B, from B to C and from A to C.
To learn about the distance formula, copy and paste the free video clip below.
If you do not understand what to do after watching the math video clip, write back.
You can put this solution on YOUR website! Let a = original ... | 677.169 | 1 |
Clinometer
Use this clinometer to determine the heights of trees and buildings or the depths of valleys. Students point the clinometer at the top of a tree or building, pull the trigger, wait for the graduated disc to stop spinning and then read the angle on the protractor. With this information, students can then calc... | 677.169 | 1 |
Easter assizes
.
The autumn assizes are regulated by acts of 1876 and 1877 (Winter Assizes Acts 1876 and 1877), and orders of council made under the former act
.
They are held for the whole of England and Wales, but for the purpose of these assizes the work is to a large extent " grouped," so that not every
equation of... | 677.169 | 1 |
In this lesson, we'll talk about similar triangles and how do we determine missing sides and angles when we are given two similar triangles. We're given two triangles PQR which is this one here and triangle XYZ and we are told that they are similar. So, triangle PQR is similar to triangle XYZ. This is the sign for simi... | 677.169 | 1 |
Angles of Polygons
There is a simple formula that helps determine the sum of the angles of a polygon. "Angles of Polygons" is a comprehensive geometry worksheet that helps students learn the formula, practice its use and apply the formula to solve related problems. Sixth graders will learn how to use the formula to det... | 677.169 | 1 |
What does acute mean? I just wanted to know the exact meaning of acute and an example of what can be acute, ... obtuse is an angles more then 90 degrees. 2 years ago; Report Abuse; 0% 0 Votes. by Bill M Member since: June 15, 2006 Total points:
Obtuse: Acute Oblique: Basic ... (x i +1,y i +1) is given by the base times... | 677.169 | 1 |
between perpendicular diagonals. For the last three shapes, students will need to use a second tool, Diagonals to Quadrilaterals II. For each quadrilateral, students will describe the type (or types) of quadrilateral and explain their reasoning.
Students return to a whole-group setting. As pairs give their answers, oth... | 677.169 | 1 |
SOL
Algebra ->
Algebra
-> Geometry-proofs
-> SOLLog On
Question 276811: Can you please help me!
Prove: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram.
I started it by saying:
Given: Angle B is congruent to Angle D.
and Angle A is congruent to Angle C.
Prove:... | 677.169 | 1 |
Typically, when dealing with the squares of variables, we should consider both negative and positive solutions. In a geometry problem, however, lengths must always be positive numbers, so we know that both a and c can never take on negative values. c/a is therefore simply 5/3 — it is a single value, so we therefore hav... | 677.169 | 1 |
Unit Circle
Unit Circle
Unit Circle shows the relationship between angles and trigonometric functions like sine and cosine. To do this, the program implements an interactive "unit circle" (radius = 1) diagram, where the user can click or drag to set angles and see how the values of trigonometric functions change accord... | 677.169 | 1 |
In this tutorial, we study lines that are perpendicular to the sides of a triangle and divide them in two (perpendicular bisectors). As we'll prove, they intersect at a unique point called the cicumcenter (which, quite amazingly, is equidistant to the vertices). We can then create a circle (circumcircle) centered at th... | 677.169 | 1 |
The only thing I would have certainly done differently would have been to label your answer with the given units of measurement, i.e. 13/5 cm. You might also want to consider the audience for your answer -- what would be more understandable to whoever is reading your paper: 13/5 cm or 2.6 cm? For me, I had to stop and ... | 677.169 | 1 |
Radius and Center of a Circle from 3 Points
Date: 07/23/99 at 12:57:12
From: Nathan Sokalski
Subject: Radius and center of circle when given 3 points
I have been told during my past geometry classes that there is only
one circle that will go through any three given points. I understand
why and agree with this 100%. How... | 677.169 | 1 |
You can put this solution on YOUR website! What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow
The first thing you would do is make a triangle with the height as 35 ft and the bottom side as 20ft.
Let x= the angel of elevation
In order to find the angle of elevation, use the trigonometric r... | 677.169 | 1 |
Parallelograms/407605: the diagonals of a parallelogram intersect at (1,1). two vertices are located at (-6,4) and (-3,-1). find the coordinates of the other vertices. 1 solutions Answer 287337 by robertb(4012) on 2011-02-10 23:08:40 (Show Source):
Question: What is the task at hand? Answer: To find the coordinates of... | 677.169 | 1 |
The Tangent Search Continued
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In this lesson we determine the gradient of a line through a point of interest on a curve and another point on the curve which we bring... | 677.169 | 1 |
Question 177774: Analytic Geometry
On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbour reports smoke coming from the kitchen of a house at C(41,18).
a) Which fire station is closer to this house?
b) Describe how to use geometry software to asnwer part a). Answer ... | 677.169 | 1 |
I need help with a trigonometry question plz answer!!
P, A, B and C are four points in a plane such that the angles BPA and CPA are obtuse and on opposite sides of PA. PA = 8cm, BP =10cm, PC = 12cm, AB= 14cm and AC = 18 cm. Calculate the length of BC and the area of the triangle ABC.
Question: What is the length of AC... | 677.169 | 1 |
Parallelograms/407605: the diagonals of a parallelogram intersect at (1,1). two vertices are located at (-6,4) and (-3,-1). find the coordinates of the other vertices. 1 solutions Answer 287337 by robertb(4012) on 2011-02-10 23:08:40 (Show Source):
Question: Who provided the solution to this task? Answer: Robertb (401... | 677.169 | 1 |
The Tangent Search Continued
Sorry, you need to install Flash and/or enable javascript in your browser to see this content. The latest version of Flash can be found at Adobe's website.
In this lesson we determine the gradient of a line through a point of interest on a curve and another point on the curve which we bring... | 677.169 | 1 |
In the figure above, points P and Q lie on the circle w/ center O. What the value of S?
The picture is an x-y axis with a semi-circle that's center is at point O (coordinates are 0,0 on the x-y axis. so the x axis is what cuts the full circle in half if you get what I mean. then there are 2 lines drawn from point O (o,... | 677.169 | 1 |
For a given normal section there is a circle whose curvature is the same as the sectional curvature, is tangent to the surface and whose center lines along on the normal line. Take the two centers corresponding to the maximum and minimum sectional curvatures: these are called the focal points, and the set of all such c... | 677.169 | 1 |
Isosceles Triangle Maximizes Area?
Date: 09/11/2003 at 16:31:37
From: LaShawn
Subject: isosceles triangle
How can you show that among all triangles having a specified base
and a specified perimeter, the isosceles triangle on that base has
the largest area?
I know that
b + c = p - a
where p is the perimeter. I also know... | 677.169 | 1 |
UnderstandUnderstand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two- dimensional figures, describe a sequence that exhibits the similarity between them.
Use informal arguments to... | 677.169 | 1 |
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