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Geometry Pre-AP Ch. 6 Test Review A. Name____________________________ Complete each statement. You may not use SQUARE as an answer. 1. The diagonals of a ______________________ are perpendicular bisectors of each other. 2. The opposite angles of a parallelogram ___________________________. 3. The diagonals of a parallelogram _______________________________. 4. The consecutive angles of a parallelogram ___________________________________. 5. The diagonals of a(n) ______________________ bisects the opposite angles. 6. The diagonals of a(n) _____________________________ are equal in length. 7. The base angles of a(n) ______________________________ are congruent. B. Answer the following. 8. Find the sum of the interior angles of a polygon with 12 sides 9. Find the number of sides of a polygon whose sum of interior angles is 3060º. 10. How many sides does a regular polygon have if its interior angles are nine times bigger than its exterior angles? 11. Find the number of sides of a regular polygon with one interior angle measure of 135º. 12. Find the sum of the exterior angles of a polygon with 24 sides. 13. Find the number of sides of a regular polygon with an exterior angle of 2º. 14. Four of the interior angles of a pentagon have measures of 50º, 80º, 112º, and 163º. Find the measure of the fifth angle. 15. Find the value of x in the figure below. (x + 50)º (2x)º (2x + 15)º (2x)º 105º 90º 16. Find the measures of the numbered angles. ABCDE is regular. 17. Find the values of x and y in the figure. EFGH is an isosceles trapezoid K B J (4y)º 2 A 1 C 72º E 3 5 E 4 D (2y)º F H (5x)º (3x + 52)º G F Find the measure of each numbered angle. 18. 19. 20. Find the value of x and y. (6x + 20)º yº 21. Find the value of a so that XYZW is isosceles. Give your answer as a simplified radical. Y 4xº C. Parallelograms X Z (a2 + 15)° (2a2 - 65)° H 1 Refer to parallelogram BFHA for the following. 22. If m HFB = 72º , m HAB = ________. W F 2 R A 4 3 B 23. If m 4 = 42º and m 3 = 38º, m 1 = ________. m 2 = ________. 24. If HF = 2y – 9 and AB = y + 2, HF = ___________. 25. If BR = 5x + 30 and HR = 7x, BR = _______. 26. If HR = 2a, BR = b + 3, FR = 2a – 6, and RA = 16 – a – b, find the length of each diagonal. 27. Refer to rhombus CRUD for the following. Find the missing measures. RU = _______ m CDU = _______ Perimeter of CRUD = ______ m RUD = _______ m CSR = _______ R RS = _______ m CRS = _______ S 23º C U D CS = 13 RD = 12 CR = 15 US = ________ D 28. Refer to square DIRT for the following. Find the missing measures. D DI = ________ I Y m 1 = ________ m RYT = ________ 1 m DTI = ________ R T Perimeter of DIRT = 32 DY = 5.7 DR = ________ TY = RY = IY = _________ E. Find the value of x for each isosceles trapezoid. 29. 9 30. x x 17.5 17.5 15 12 31. (3x + 3) (3x – 1) (2 + 2x) 32. (x + 2) (4x- 4) (5x + 2)