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Geometry Review Chapter 6 Name ________________________________ True or False. 1. A rhombus is a parallelogram with four congruent sides. 2. A kite is a quadrilateral with two pairs of adjacent sides congruent and opposite sides congruent. 3. All rectangles are squares. 4. Opposite angles of a parallelogram are supplementary. 5. The diagonals of a parallelogram bisect each other. 6. Each diagonal of a rhombus bisects two angles of the rhombus. 7. The diagonals of a rectangle are congruent. 8. The diagonals of a kite are congruent. 9. Consecutive angles of a parallelogram are supplementary. 10. The base angles of an isosceles triangle are supplementary. Is there enough information to prove that the quadrilateral is a parallelogram? Yes or No. 11. 12. 13. Is the parallelogram a rhombus or a rectangle or neither? 14. 15. Find XY in each parallelogram. 16. 17. 18. Find the values of the variables for each figure. 19. x = _____________ 21. x =_____________ 23. x = ________ y = ________ z = __________ Find the measures of 20. x = __________ y =______________ 22. x = ________ y = _________ 24. m = ___________ t = __________ 1 and 2. 25. 1 = __________ 2 = __________ 26. 1 = __________ 2 = __________ 27. 1 = __________ 2 = __________ 28. 1 = ________ 2 = ________ 3 = _______ 29. 1 = ________ 2 = ________ 3 = _______ 30. 1 = ________ 2 = ________ 3 = _______ Graph the quadrilateral. Then prove why it is that precise name. 31. parallelogram P(-4, 2) Q(-1, 3), R(7, 0), S(4, -1) Proof: Slope: _________ || ___________ __________ || ___________ 32. kite A(3, -2) B(5, 4) C(3, 6) D(1, 4) Proof: