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Name:_________________________ Date:_____________________ Chp 8 Test Review 1. How many sides does a 4680˚ polygon have?__________ 2. Find the value of x. a) b) x=________ x=_________ 3. Find the value of each interior and exterior angle for a regular convex 17-gon.___________________ 4. The interior angle of a regular polygon is 156˚. How many sides does the polygon have? 5. The figure to the right is composed of a regular pentagon and a rectangle. What is the measure of each of the angles identified as x? Use for #6-7 6. Given parallelogram ABCD, find x&y. x:_________ y:___________ 7. How much is AC? AC = ___________ 8. Solve for x and y in parallelogram ABCD. x:________ y:________ 1 Name:_________________________ Date:_____________________ Chp 8 Test Review 9. Which of the following would NOT indicate that a quadrilateral is a parallelogram? a) both pairs of opposite angles are congruent b) opposite sides are parallel and congruent c) vertical angles are congruent d) diagonals bisect each other 10. Use the diagram to copy and complete each sentence. Remember if there is an equal sign there should be a # in the blank, if there is a congruent sign then letters go in the blank. WY = 12, YX = 15, VX = 9 11. For rectangle ABCD, if DB 5x 2 and AC 2 x 14 find the length of AE . Use for #11-12 12. If AB 3x 4 , DC 7 x 16 , AD 2 y 6 , and BC 3 y 13 , find the perimeter of rectangle ABCD. 13. If m 1 38 and AB 10 , find the length of DC . 14. If m 1 3x 18 and m 3 5x 10 , find m 2 . 15. If DM 4 3 y , MB 28 , AM 5 x 3 y , and MC 7 , find the values of x and y. 16. In the trapezoid to the right, Solve for x. 2 Use for #13-15 rhombus Name:_________________________ Date:_____________________ Chp 8 Test Review 17. Find the perimeter of the kite if BE =3, ED =9, and EC =4. E 18. Three of the vertices of parallelogram ABCD are given. Find the coordinates for point D. A: (6, 0), B: (0, 4), C: (-4, 2) D: ______ At what point do the diagonals intersect? _____________ Using the above information, how could you prove that your polygon is a parallelogram? _______________________________ _______________________________ True or False: 19. A square is always a rhombus. 20. Consecutive angles of a parallelogram are always congruent. 21. The diagonals of a rhombus are always perpendicular. 22. A rectangle is sometimes a rhombus. 23. The diagonals of a kite are congruent. 24. Show the quadrilateral below is a parallelogram. (Hint: Find the slope of each side) Slope of AD = ____ Slope of BC = ____ Slope of AB = ____ Slope of DC = ____ 3 Name:_________________________ Date:_____________________ Chp 8 Test Review 25. 26. 27. 28. Solve for x & y. 29. Solve for x & y. 4 Name:_________________________ Date:_____________________ Chp 8 Test Review 30. Multiple Response: Select all correct responses. 31. 32. Which of the following have diagonals that are congruent? a) Rhombus b) Rectangle c) Isosceles Trapezoid d) Square e) Kite f) Parallelogram Consider the following statement: If 3x = 12, then x = 4. Write the converse, inverse and contrapositive. 33. What is the difference between a kite and a rhombus? Include a diagram and explanation. 5

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