messages listlengths 1 1 | ground_truth stringclasses 18 values | dataset stringclasses 1 value |
|---|---|---|
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{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 10 and from vertex 4 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where ver... | 7 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex 8 was), and superimpose it on ... | 3 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 1 to vertex 4, and from vertex 1 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that v... | 16 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 8 and from vertex 1 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 8, from vertex 3 to vertex 1, and from vertex 1 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that v... | 11 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 5 and from vertex 2 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vert... | 2 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 7 to vertex 4, and from vertex 7 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that v... | 3 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6 and from vertex 7 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex... | 7 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 9 and from vertex 8 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vert... | 2 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 10 and from vertex 4 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where ver... | 6 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 1 to vertex 4, and from vertex 3 to vertex 11. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so tha... | 3 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 10 and from vertex 3 to vertex 11. Then, rotate the entire setup, including the constructed diagonals, 8 vertices counterclockwise (so that vertex 1 ends up where ve... | 1 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 7 to vertex 9, and from vertex 7 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that v... | 11 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 3 to vertex 12, and from vertex 1 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 11 vertices counterclockwise (so th... | 1 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1 and from vertex 1 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 1 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 9 and from vertex 6 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4 and from vertex 2 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vert... | 6 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex 5 was), and superimpose it on ... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 3 and from vertex 9 to vertex 7. Then, rotate the entire setup, including the constructed diagonals, 8 vertices counterclockwise (so that vertex 1 ends up where ver... | 1 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7, from vertex 4 to vertex 7, and from vertex 6 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 8 vertices counterclockwise (so that v... | 4 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex 5 was), and superimpose it on ... | 3 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 1 to vertex 3, and from vertex 2 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that v... | 3 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4, from vertex 4 to vertex 8, and from vertex 10 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so tha... | 3 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 9 to vertex 2, and from vertex 6 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that v... | 7 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex 4 was), and superimpose it o... | 3 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 4 and from vertex 1 to vertex 10. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where ver... | 6 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5 and from vertex 3 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vertex 7 was), and superimpose it o... | 3 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7, from vertex 8 to vertex 3, and from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that v... | 15 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1 and from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 1 and from vertex 5 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vert... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1 and from vertex 4 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 9 vertices counterclockwise (so that vertex 1 ends up where vert... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 5, from vertex 8 to vertex 1, and from vertex 5 to vertex 10. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so tha... | 16 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 6 to vertex 4, and from vertex 6 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that v... | 11 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4 and from vertex 6 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex... | 9 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 3, from vertex 8 to vertex 2, and from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that v... | 11 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2 and from vertex 6 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vertex... | 3 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vertex 2 was), and superimpose it on ... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9 and from vertex 3 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vert... | 3 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2 and from vertex 2 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vertex... | 8 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6 and from vertex 4 to vertex 7. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 7 and from vertex 1 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where ver... | 7 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 4 and from vertex 5 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 6 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 5 to vertex 3, and from vertex 1 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that v... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5 and from vertex 1 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vert... | 5 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2 and from vertex 7 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vert... | 3 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7 and from vertex 5 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex... | 7 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 8 and from vertex 9 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vertex... | 9 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 8 and from vertex 1 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 11 vertices counterclockwise (so that vertex 1 ends up where ve... | 7 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 2 to vertex 5, and from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that v... | 15 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2 and from vertex 6 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 5 to vertex 2, and from vertex 7 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that v... | 4 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 7 to vertex 5, and from vertex 4 to vertex 7. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that v... | 13 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 11 vertices counterclockwise (so that vertex 1 ends up where vertex 12 was), and superimpose it... | 4 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 2 and from vertex 8 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex... | 8 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5 and from vertex 4 to vertex 7. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3 and from vertex 9 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vert... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 9, from vertex 9 to vertex 2, and from vertex 1 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so tha... | 14 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 5, from vertex 3 to vertex 5, and from vertex 4 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that v... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4 and from vertex 4 to vertex 11. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where ver... | 5 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 5 to vertex 3, and from vertex 6 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that v... | 1 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 3 to vertex 6, and from vertex 3 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that v... | 1 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6 and from vertex 1 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vertex... | 9 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7 and from vertex 2 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vertex... | 8 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 2 to vertex 7, and from vertex 7 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 3 and from vertex 2 to vertex 7. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5 and from vertex 4 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 2 vertices counterclockwise (so that vertex 1 ends up where vertex... | 6 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3 and from vertex 4 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vert... | 7 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4 and from vertex 3 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex... | 6 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3 and from vertex 3 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7 and from vertex 5 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6 and from vertex 8 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 9 vertices counterclockwise (so that vertex 1 ends up where vert... | 7 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2 and from vertex 3 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 7 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1 and from vertex 1 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 7 to vertex 5, and from vertex 7 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that v... | 10 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7 and from vertex 2 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vert... | 9 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7 and from vertex 7 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that vertex 1 ends up where vert... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 10, from vertex 4 to vertex 9, and from vertex 6 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so tha... | 12 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 3 to vertex 6, and from vertex 7 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that v... | 9 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4 and from vertex 1 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6 and from vertex 2 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vert... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 1 to vertex 8, and from vertex 10 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 8 vertices counterclockwise (so tha... | 15 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 1 and from vertex 2 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 9 vertices counterclockwise (so that vertex 1 ends up where vert... | 7 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 2 and from vertex 5 to vertex 1. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where vertex... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 1 to vertex 3, and from vertex 2 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 8 vertices counterclockwise (so that... | 1 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vertex 7 was), and superimpose it o... | 1 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6 and from vertex 5 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 1 vertices counterclockwise (so that vertex 1 ends up where vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 7 and from vertex 7 to vertex 4. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vert... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4 and from vertex 9 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vert... | 6 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 1, from vertex 4 to vertex 8, and from vertex 2 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that... | 2 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6 and from vertex 5 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 7 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 11, from vertex 7 to vertex 5, and from vertex 2 to vertex 6. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so tha... | 1 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9. Then, rotate the entire setup, including the constructed diagonals, 6 vertices counterclockwise (so that vertex 1 ends up where vertex 7 was), and superimpose it on ... | 1 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5 and from vertex 7 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 3 vertices counterclockwise (so that vertex 1 ends up where vertex... | 5 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2 and from vertex 7 to vertex 3. Then, rotate the entire setup, including the constructed diagonals, 4 vertices counterclockwise (so that vertex 1 ends up where vertex... | 3 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6 and from vertex 10 to vertex 5. Then, rotate the entire setup, including the constructed diagonals, 10 vertices counterclockwise (so that vertex 1 ends up where ve... | 2 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4 and from vertex 10 to vertex 2. Then, rotate the entire setup, including the constructed diagonals, 5 vertices counterclockwise (so that vertex 1 ends up where ver... | 2 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 7, from vertex 4 to vertex 1, and from vertex 8 to vertex 11. Then, rotate the entire setup, including the constructed diagonals, 10 vertices counterclockwise (so th... | 12 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 8 to vertex 4, and from vertex 5 to vertex 8. Then, rotate the entire setup, including the constructed diagonals, 7 vertices counterclockwise (so that v... | 1 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 8, from vertex 2 to vertex 12, and from vertex 4 to vertex 11. Then, rotate the entire setup, including the constructed diagonals, 10 vertices counterclockwise (so t... | 5 | MATH |
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