messages listlengths 1 1 | ground_truth stringclasses 47
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{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 9, from vertex 5 to vertex 2, from vertex 3 to vertex 1, from vertex 1 to vertex 8, from vertex 7 to vertex 3, and from vertex 3 to vertex 8. Then, rotate the entire s... | 27 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 12, from vertex 2 to vertex 6, from vertex 7 to vertex 10, from vertex 10 to vertex 4, from vertex 10 to vertex 12, and from vertex 5 to vertex 12. Then, rotate the ... | 30 | 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, from vertex 7 to vertex 1, from vertex 7 to vertex 3, from vertex 7 to vertex 4, from vertex 8 to vertex 6, and from vertex 4 to vertex 2. Then, rotate the entire s... | 20 | 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 7, from vertex 4 to vertex 2, from vertex 4 to vertex 6, from vertex 6 to vertex 1, from vertex 5 to vertex 7, and from vertex 6 to vertex 2. Then, rotate the entire s... | 19 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 3 to vertex 7, from vertex 5 to vertex 3, from vertex 2 to vertex 4, from vertex 5 to vertex 2, and from vertex 6 to vertex 4. Then, rotate the entire s... | 19 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 7, from vertex 2 to vertex 8, from vertex 1 to vertex 7, from vertex 6 to vertex 10, from vertex 9 to vertex 6, and from vertex 7 to vertex 9. Then, rotate the enti... | 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 1, from vertex 10 to vertex 2, from vertex 2 to vertex 4, from vertex 2 to vertex 11, from vertex 7 to vertex 11, and from vertex 1 to vertex 8. Then, rotate the en... | 41 | 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 3, from vertex 4 to vertex 7, from vertex 7 to vertex 3, from vertex 2 to vertex 8, from vertex 4 to vertex 1, and from vertex 6 to vertex 8. Then, rotate the entire s... | 11 | 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 3, from vertex 10 to vertex 6, from vertex 2 to vertex 8, from vertex 6 to vertex 1, from vertex 3 to vertex 1, and from vertex 9 to vertex 7. Then, rotate the entir... | 6 | 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, from vertex 1 to vertex 8, from vertex 3 to vertex 9, from vertex 1 to vertex 6, from vertex 3 to vertex 7, and from vertex 9 to vertex 5. Then, rotate the entire s... | 7 | 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, from vertex 3 to vertex 1, from vertex 5 to vertex 2, from vertex 1 to vertex 5, from vertex 2 to vertex 6, and from vertex 4 to vertex 2. Then, rotate the entire s... | 2 | 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 7, from vertex 4 to vertex 8, from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 8 to vertex 2, and from vertex 1 to vertex 8. Then, rotate the entire s... | 20 | 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 10, from vertex 5 to vertex 9, from vertex 6 to vertex 3, from vertex 5 to vertex 3, from vertex 8 to vertex 4, and from vertex 5 to vertex 10. Then, rotate the enti... | 12 | 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 1, from vertex 3 to vertex 6, from vertex 2 to vertex 6, from vertex 6 to vertex 4, from vertex 1 to vertex 3, and from vertex 5 to vertex 2. Then, rotate the entire s... | 20 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 7, from vertex 1 to vertex 4, from vertex 5 to vertex 3, from vertex 2 to vertex 5, from vertex 3 to vertex 1, and from vertex 4 to vertex 6. Then, rotate the entire s... | 3 | 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 3, from vertex 1 to vertex 3, from vertex 1 to vertex 6, from vertex 2 to vertex 5, from vertex 4 to vertex 1, and from vertex 7 to vertex 5. Then, rotate the entire s... | 33 | 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, from vertex 6 to vertex 4, from vertex 3 to vertex 7, from vertex 5 to vertex 2, from vertex 6 to vertex 1, and from vertex 8 to vertex 4. Then, rotate the entire s... | 32 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1, from vertex 10 to vertex 8, from vertex 11 to vertex 5, from vertex 6 to vertex 11, from vertex 4 to vertex 12, and from vertex 1 to vertex 4. Then, rotate the en... | 24 | 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 1, from vertex 3 to vertex 7, from vertex 5 to vertex 1, from vertex 7 to vertex 5, from vertex 1 to vertex 4, and from vertex 6 to vertex 8. Then, rotate the entire s... | 24 | 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, from vertex 10 to vertex 6, from vertex 9 to vertex 5, from vertex 7 to vertex 2, from vertex 2 to vertex 4, and from vertex 1 to vertex 4. Then, rotate the entir... | 12 | 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 4, from vertex 2 to vertex 5, from vertex 3 to vertex 7, from vertex 2 to vertex 4, from vertex 1 to vertex 4, and from vertex 6 to vertex 3. Then, rotate the entire s... | 4 | 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 1, from vertex 4 to vertex 6, from vertex 3 to vertex 6, from vertex 4 to vertex 2, from vertex 6 to vertex 2, and from vertex 3 to vertex 1. Then, rotate the entire s... | 16 | 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, from vertex 7 to vertex 4, from vertex 3 to vertex 7, from vertex 4 to vertex 6, from vertex 5 to vertex 2, and from vertex 6 to vertex 1. Then, rotate the entire s... | 35 | 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 4, from vertex 2 to vertex 7, from vertex 4 to vertex 8, from vertex 8 to vertex 6, from vertex 1 to vertex 4, and from vertex 8 to vertex 2. Then, rotate the entire s... | 24 | 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 6 to vertex 4, from vertex 1 to vertex 4, from vertex 4 to vertex 2, from vertex 3 to vertex 5, and from vertex 1 to vertex 3. Then, rotate the entire s... | 16 | 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 9, from vertex 1 to vertex 6, from vertex 2 to vertex 11, from vertex 4 to vertex 9, from vertex 1 to vertex 9, and from vertex 10 to vertex 5. Then, rotate the enti... | 7 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 1, from vertex 2 to vertex 8, from vertex 3 to vertex 7, from vertex 9 to vertex 7, from vertex 7 to vertex 11, and from vertex 5 to vertex 9. Then, rotate the enti... | 4 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 7 to vertex 4, from vertex 6 to vertex 3, from vertex 2 to vertex 5, from vertex 5 to vertex 3, and from vertex 5 to vertex 1. Then, rotate the entire s... | 29 | 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 1, from vertex 6 to vertex 1, from vertex 8 to vertex 6, from vertex 5 to vertex 8, from vertex 5 to vertex 1, and from vertex 7 to vertex 3. Then, rotate the entire s... | 26 | 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 3 to vertex 9, from vertex 7 to vertex 5, from vertex 5 to vertex 10, from vertex 9 to vertex 5, and from vertex 6 to vertex 4. Then, rotate the entir... | 41 | 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 8, from vertex 10 to vertex 6, from vertex 2 to vertex 9, from vertex 10 to vertex 3, from vertex 6 to vertex 9, and from vertex 5 to vertex 10. Then, rotate the ent... | 9 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 3, from vertex 7 to vertex 3, from vertex 1 to vertex 7, from vertex 10 to vertex 7, from vertex 3 to vertex 1, and from vertex 2 to vertex 11. Then, rotate the ent... | 33 | 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 6, from vertex 9 to vertex 3, from vertex 5 to vertex 8, from vertex 4 to vertex 7, from vertex 8 to vertex 3, and from vertex 3 to vertex 1. Then, rotate the entire... | 16 | 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 4, from vertex 1 to vertex 7, from vertex 2 to vertex 7, from vertex 1 to vertex 3, from vertex 8 to vertex 6, and from vertex 5 to vertex 3. Then, rotate the entire s... | 18 | 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, from vertex 10 to vertex 5, from vertex 4 to vertex 1, from vertex 6 to vertex 9, from vertex 3 to vertex 6, and from vertex 2 to vertex 6. Then, rotate the entir... | 36 | 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, from vertex 2 to vertex 7, from vertex 4 to vertex 8, from vertex 5 to vertex 7, from vertex 5 to vertex 2, and from vertex 6 to vertex 8. Then, rotate the entire s... | 8 | 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 3, from vertex 10 to vertex 7, from vertex 2 to vertex 9, from vertex 11 to vertex 8, from vertex 10 to vertex 2, and from vertex 10 to vertex 8. Then, rotate the en... | 32 | 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 6 to vertex 2, from vertex 1 to vertex 4, from vertex 7 to vertex 3, from vertex 5 to vertex 2, and from vertex 1 to vertex 5. Then, rotate the entire s... | 1 | 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, from vertex 7 to vertex 10, from vertex 5 to vertex 7, from vertex 6 to vertex 3, from vertex 3 to vertex 5, and from vertex 1 to vertex 5. Then, rotate the entir... | 16 | 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 7, from vertex 3 to vertex 7, from vertex 1 to vertex 3, from vertex 2 to vertex 7, from vertex 2 to vertex 5, and from vertex 6 to vertex 3. Then, rotate the entire s... | 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 3, from vertex 11 to vertex 3, from vertex 1 to vertex 5, from vertex 6 to vertex 8, from vertex 4 to vertex 7, and from vertex 3 to vertex 1. Then, rotate the entir... | 33 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 11, from vertex 1 to vertex 8, from vertex 2 to vertex 10, from vertex 4 to vertex 7, from vertex 10 to vertex 7, and from vertex 2 to vertex 6. Then, rotate the ent... | 1 | 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 6 to vertex 8, from vertex 6 to vertex 4, from vertex 4 to vertex 1, from vertex 4 to vertex 8, and from vertex 6 to vertex 3. Then, rotate the entire s... | 21 | 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, from vertex 5 to vertex 7, from vertex 1 to vertex 7, from vertex 6 to vertex 1, from vertex 5 to vertex 1, and from vertex 4 to vertex 7. Then, rotate the entire s... | 19 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 9, from vertex 7 to vertex 1, from vertex 1 to vertex 4, from vertex 12 to vertex 6, from vertex 8 to vertex 12, and from vertex 1 to vertex 10. Then, rotate the ent... | 2 | 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 1, from vertex 2 to vertex 5, from vertex 3 to vertex 5, from vertex 1 to vertex 3, from vertex 7 to vertex 3, and from vertex 4 to vertex 7. Then, rotate the entire s... | 1 | 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 7, from vertex 8 to vertex 5, from vertex 5 to vertex 2, from vertex 2 to vertex 8, from vertex 6 to vertex 8, and from vertex 1 to vertex 6. Then, rotate the entire s... | 14 | 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 10, from vertex 8 to vertex 6, from vertex 1 to vertex 4, from vertex 6 to vertex 11, from vertex 11 to vertex 3, and from vertex 1 to vertex 9. Then, rotate the ent... | 27 | 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 5, from vertex 8 to vertex 3, from vertex 8 to vertex 1, from vertex 2 to vertex 9, from vertex 1 to vertex 4, and from vertex 6 to vertex 2. Then, rotate the entire s... | 31 | 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 5, from vertex 7 to vertex 4, from vertex 4 to vertex 2, from vertex 8 to vertex 5, from vertex 8 to vertex 2, and from vertex 1 to vertex 5. Then, rotate the entire s... | 2 | 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 6 to vertex 2, from vertex 7 to vertex 1, from vertex 8 to vertex 2, from vertex 1 to vertex 6, and from vertex 4 to vertex 6. Then, rotate the entire s... | 29 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 3, from vertex 6 to vertex 8, from vertex 6 to vertex 10, from vertex 9 to vertex 2, from vertex 6 to vertex 9, and from vertex 10 to vertex 2. Then, rotate the ent... | 18 | 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 1, from vertex 10 to vertex 8, from vertex 10 to vertex 4, from vertex 2 to vertex 10, from vertex 1 to vertex 8, and from vertex 6 to vertex 9. Then, rotate the ent... | 32 | 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 10, from vertex 2 to vertex 9, from vertex 1 to vertex 4, from vertex 8 to vertex 4, from vertex 8 to vertex 6, and from vertex 11 to vertex 4. Then, rotate the enti... | 7 | 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, from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 3 to vertex 6, from vertex 5 to vertex 3, and from vertex 5 to vertex 2. Then, rotate the entire s... | 20 | 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 5, from vertex 7 to vertex 9, from vertex 7 to vertex 3, from vertex 8 to vertex 5, from vertex 3 to vertex 8, and from vertex 1 to vertex 5. Then, rotate the entire s... | 22 | 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 7 to vertex 5, from vertex 2 to vertex 4, from vertex 6 to vertex 4, from vertex 5 to vertex 3, and from vertex 6 to vertex 3. Then, rotate the entire s... | 27 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 1 to vertex 4, from vertex 3 to vertex 7, from vertex 6 to vertex 4, from vertex 6 to vertex 1, and from vertex 7 to vertex 4. Then, rotate the entire s... | 31 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 2 to vertex 6, from vertex 4 to vertex 6, from vertex 3 to vertex 7, from vertex 4 to vertex 9, and from vertex 5 to vertex 9. Then, rotate the entire s... | 35 | 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, from vertex 6 to vertex 3, from vertex 6 to vertex 2, from vertex 1 to vertex 4, from vertex 6 to vertex 4, and from vertex 2 to vertex 4. Then, rotate the entire s... | 24 | 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, from vertex 5 to vertex 2, from vertex 2 to vertex 7, from vertex 2 to vertex 4, from vertex 3 to vertex 6, and from vertex 7 to vertex 4. Then, rotate the entire s... | 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 9, from vertex 5 to vertex 7, from vertex 1 to vertex 3, from vertex 3 to vertex 10, from vertex 2 to vertex 5, and from vertex 4 to vertex 8. Then, rotate the entir... | 33 | 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, from vertex 6 to vertex 4, from vertex 3 to vertex 8, from vertex 8 to vertex 5, from vertex 3 to vertex 7, and from vertex 1 to vertex 7. Then, rotate the entire s... | 32 | 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, from vertex 1 to vertex 5, from vertex 5 to vertex 3, from vertex 7 to vertex 3, from vertex 7 to vertex 1, and from vertex 5 to vertex 7. Then, rotate the entire s... | 41 | 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 6, from vertex 1 to vertex 3, from vertex 5 to vertex 8, from vertex 2 to vertex 8, from vertex 2 to vertex 7, and from vertex 5 to vertex 1. Then, rotate the entire s... | 25 | 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 4, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from vertex 2 to vertex 5, from vertex 1 to vertex 4, and from vertex 1 to vertex 5. Then, rotate the entire s... | 20 | 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 1, from vertex 6 to vertex 4, from vertex 1 to vertex 4, from vertex 4 to vertex 2, from vertex 2 to vertex 5, and from vertex 2 to vertex 6. Then, rotate the entire s... | 4 | 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 5, from vertex 7 to vertex 4, from vertex 1 to vertex 3, from vertex 1 to vertex 6, from vertex 6 to vertex 2, and from vertex 3 to vertex 7. Then, rotate the entire s... | 19 | 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 8, from vertex 10 to vertex 6, from vertex 5 to vertex 2, from vertex 6 to vertex 8, from vertex 9 to vertex 3, and from vertex 5 to vertex 10. Then, rotate the enti... | 15 | 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 3, from vertex 2 to vertex 9, from vertex 8 to vertex 2, from vertex 4 to vertex 11, from vertex 6 to vertex 9, and from vertex 2 to vertex 4. Then, rotate the entir... | 3 | 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, from vertex 3 to vertex 1, from vertex 3 to vertex 6, from vertex 5 to vertex 1, from vertex 7 to vertex 2, and from vertex 6 to vertex 1. Then, rotate the entire s... | 22 | 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 3, from vertex 8 to vertex 5, from vertex 7 to vertex 4, from vertex 8 to vertex 1, from vertex 10 to vertex 5, and from vertex 9 to vertex 6. Then, rotate the entir... | 5 | 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, from vertex 6 to vertex 4, from vertex 10 to vertex 7, from vertex 5 to vertex 8, from vertex 9 to vertex 2, and from vertex 9 to vertex 4. Then, rotate the entir... | 7 | 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 7, from vertex 2 to vertex 10, from vertex 10 to vertex 8, from vertex 3 to vertex 10, from vertex 4 to vertex 6, and from vertex 11 to vertex 9. Then, rotate the en... | 19 | 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 10, from vertex 9 to vertex 2, from vertex 10 to vertex 8, from vertex 4 to vertex 8, from vertex 10 to vertex 5, and from vertex 9 to vertex 3. Then, rotate the ent... | 33 | 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 1, from vertex 2 to vertex 5, from vertex 3 to vertex 5, from vertex 2 to vertex 6, from vertex 5 to vertex 1, and from vertex 2 to vertex 4. Then, rotate the entire s... | 18 | 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 3, from vertex 1 to vertex 5, from vertex 6 to vertex 2, from vertex 7 to vertex 5, from vertex 2 to vertex 7, and from vertex 4 to vertex 2. Then, rotate the entire s... | 2 | 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 3, from vertex 4 to vertex 1, from vertex 1 to vertex 3, from vertex 4 to vertex 2, from vertex 3 to vertex 5, and from vertex 6 to vertex 2. Then, rotate the entire s... | 6 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 7, from vertex 8 to vertex 10, from vertex 5 to vertex 1, from vertex 9 to vertex 3, from vertex 11 to vertex 4, and from vertex 1 to vertex 7. Then, rotate the ent... | 2 | MATH |
[
{
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 6, from vertex 10 to vertex 8, from vertex 4 to vertex 7, from vertex 9 to vertex 6, from vertex 3 to vertex 9, and from vertex 10 to vertex 2. Then, rotate the ent... | 19 | 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, from vertex 2 to vertex 7, from vertex 5 to vertex 7, from vertex 5 to vertex 8, from vertex 5 to vertex 2, and from vertex 4 to vertex 1. Then, rotate the entire s... | 20 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 10, from vertex 7 to vertex 12, from vertex 10 to vertex 2, from vertex 3 to vertex 10, from vertex 3 to vertex 12, and from vertex 5 to vertex 10. Then, rotate the ... | 35 | 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 6, from vertex 8 to vertex 3, from vertex 6 to vertex 3, from vertex 1 to vertex 5, and from vertex 1 to vertex 6. Then, rotate the entire s... | 22 | 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, from vertex 1 to vertex 7, from vertex 7 to vertex 2, from vertex 4 to vertex 6, from vertex 2 to vertex 5, and from vertex 3 to vertex 6. Then, rotate the entire s... | 3 | 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 1, from vertex 8 to vertex 5, from vertex 9 to vertex 7, from vertex 1 to vertex 3, from vertex 9 to vertex 5, and from vertex 6 to vertex 3. Then, rotate the entire s... | 31 | 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 3, from vertex 4 to vertex 6, from vertex 6 to vertex 2, from vertex 5 to vertex 1, from vertex 5 to vertex 2, and from vertex 2 to vertex 4. Then, rotate the entire s... | 24 | 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 1, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from vertex 6 to vertex 2, from vertex 6 to vertex 4, and from vertex 5 to vertex 1. Then, rotate the entire s... | 6 | 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, from vertex 1 to vertex 3, from vertex 1 to vertex 4, from vertex 1 to vertex 6, from vertex 2 to vertex 5, and from vertex 5 to vertex 7. Then, rotate the entire s... | 3 | 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, from vertex 3 to vertex 1, from vertex 5 to vertex 3, from vertex 6 to vertex 3, from vertex 1 to vertex 5, and from vertex 6 to vertex 4. Then, rotate the entire s... | 16 | 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, from vertex 6 to vertex 8, from vertex 6 to vertex 2, from vertex 4 to vertex 8, from vertex 1 to vertex 6, and from vertex 2 to vertex 4. Then, rotate the entire s... | 25 | 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 8, from vertex 8 to vertex 2, from vertex 7 to vertex 3, from vertex 1 to vertex 5, from vertex 8 to vertex 3, and from vertex 4 to vertex 1. Then, rotate the entire s... | 22 | 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 8, from vertex 2 to vertex 6, from vertex 8 to vertex 10, from vertex 10 to vertex 5, from vertex 6 to vertex 9, and from vertex 7 to vertex 9. Then, rotate the enti... | 22 | 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 6 to vertex 3, from vertex 2 to vertex 11, from vertex 2 to vertex 8, from vertex 10 to vertex 8, and from vertex 1 to vertex 7. Then, rotate the enti... | 3 | MATH |
[
{
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 8, from vertex 4 to vertex 7, from vertex 5 to vertex 9, from vertex 2 to vertex 5, from vertex 3 to vertex 7, and from vertex 7 to vertex 5. Then, rotate the entire s... | 2 | 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 5, from vertex 5 to vertex 9, from vertex 6 to vertex 9, from vertex 3 to vertex 7, from vertex 7 to vertex 1, and from vertex 2 to vertex 6. Then, rotate the entire s... | 1 | 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, from vertex 3 to vertex 5, from vertex 9 to vertex 2, from vertex 4 to vertex 1, from vertex 7 to vertex 9, and from vertex 3 to vertex 9. Then, rotate the entire s... | 6 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 5 to vertex 3, from vertex 1 to vertex 5, from vertex 1 to vertex 3, from vertex 6 to vertex 3, and from vertex 7 to vertex 4. Then, rotate the entire s... | 25 | 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 6, from vertex 8 to vertex 2, from vertex 5 to vertex 1, from vertex 4 to vertex 8, and from vertex 1 to vertex 7. Then, rotate the entire s... | 28 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 5, from vertex 2 to vertex 7, from vertex 4 to vertex 1, from vertex 4 to vertex 9, from vertex 3 to vertex 6, and from vertex 4 to vertex 8. Then, rotate the entir... | 18 | 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, from vertex 2 to vertex 10, from vertex 7 to vertex 1, from vertex 4 to vertex 10, from vertex 9 to vertex 4, and from vertex 4 to vertex 8. Then, rotate the enti... | 15 | MATH |
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