1. Find the Value of x, then state all angle measures 41⁰ (11x+3)⁰ (8x+4)⁰ (8x-3)⁰ 57⁰ (17x-12)⁰ x-1⁰ (11x+3)⁰ (8x+4)⁰ (8x-3)⁰

2. Is it possible to have a regular polygon with a 70⁰ interior angle?

3. Find the sum of the measures of the interior angles of a convex 13-gon

4. A D B C Find the measure of these angles in the parallelogram: a)  ACD b)  BDA c)  BAC 57⁰ 44⁰ 79⁰ 21 16

5. x+13 4m-19 41 45 131⁰ 26+y⁰ 3n-16⁰ 49⁰ Find the values of m, n, x, and y that make the figure a parallelogram

6. The diagonals of parallelogram JKLM intersect at point P. If J(4,7), K(1,1), L(-2,2), and M (1,8), then what are the coordinates of point P

7. 29   What theorem can you use to prove that the quadrilateral is a parallelogram?

8. Find the values of x and y that makes ABCD a parallelogram A C B D 14y+7 17x+12 X+22 7y-3

9. Three vertices of MLNO are given. Find the fourth vertex and show all work M(-4,-6), L(8,-6), N(6,4), O(x,y)

10. A C B F E D G H 2 3 Given: FDEC, ABFE, and HFGD are parallelograms, AB=FE Prove: ABCD is a parallelogram

11. How would you prove that ABDC is congruent to GFEH if you know that CEHD is a parallelogram? A B C D H G FE

12. x+2 4y+4 x-4 2y+10 If the figure is a rectangle, find x and y.

13. AB C D Is there sufficient information to prove that parallelogram ABCD is a rhombus?

14. C D B A Given: AC is perpendicular to BD,  s A, B, C, and D are right angles Prove: ABCD is a square

15. 14z+33 18z-7 AB C D Find the value of Z that makes ABCD a rhombus

16. Classify quadrilateral ABCD AB C D

17. 12x+3 51 Find the value of x that makes HIJK an isosceles trapezoid H I J K

18. 49⁰ (12c+1)⁰ (8b+115)⁰ (41b+83)⁰ 4219.5a-10 Find the values of a, b, and c that make the figure an isosceles trapezoid

19. 57⁰63⁰ D G F E Find the measures of angles D and E in kite DEFG

20. A B CD F E G H Given: AD is congruent to BC and AB is parallel to DC Prove: ABCD is an isosceles trapezoid

21. Give the most specific name for the shown quadrilateral

22. 91⁰ 89⁰ Is there enough information to classify the figure as an isosceles trapezoid?

23. 8 8 8 8 Is there enough information to prove that the figure is a rectangle?

24. Give the most specific name for the quadrilateral.