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3-Tri Geometry Name__________________________ Chapter 6 Review Hour________ Decide whether the statement is true or false. Circle your answer. 1. Opposite sides of a parallelogram are congruent. True False 2. The diagonals of a rectangle are perpendicular. True False 3. A square is a type of parallelogram. True False 4. The diagonals of a rhombus bisect each other. True False 5. A rectangle is equiangular. True False 6. Opposite angles of a parallelogram are congruent. True False 7. Which statement(s) is/are true? Circle all that apply. A. all quadrilaterals are squares B. all parallelograms are rectangles C. all squares are rectangles D. all kites are quadrilaterals 8. Choose the statement that is SOMETIMES true. For any parallelogram ______________. A. opposite sides are parallel. B. the diagonals are congruent. C. the diagonals bisect each other. D. consecutive angles are supplementary. 9. If exactly one pair of opposite sides are parallel, the quadrilateral is a: A. kite B. trapezoid C. rhombus D. parallelogram 10. Which statement is NOT true of a rectangle. A. Diagonals bisect each other B. Equilateral C. Diagonals are congruent D. Equiangular 11. Complete the statements about parallelogram EFGH. Explain why. a) EH = 5.5 cm Reason:_____________________________ H G o 95 b) GO = 4 cm O Reason:_____________________________ 5.5 cm 4 cm c) HEF 85o Reason:_____________________________ 3.8 cm E F 12. Find the value of the variables in the parallelogram. x° 2y° x = 128o y = 26 52° Is the figure a parallelogram? How do you know? 13. 14. 5 in 5 in 5 in 25 5 in Yes- opposite sides are congruent. 15. DEFG is parallelogram. Fill in the missing angle measures. D E 52 128 52 G 25 128 F 165 No- consecutive angles do not add to 180o 16. Fill in the missing angle measures below. 17. The shape below is a rectangle. Find the measure of each segment. Q 5 cm U AD = 5 QD = 4 x+1 QA = 6 cm 3 cm UD = 6 cm D 2x-1 A 18. What is the perimeter of QUAD? 18 cm 19. MNOP is a rectangle. Find the length of MN when NO = 3x + 13 , PO = 5x – 3 and the perimeter is 140 mm. M N P O 20. Fill in the missing angle measures when mR = 113 and mU = 82. MN = 34.5 mm 21. Fill in the missing angle measures below. 54 mS = 82 mT = 83. Find the value of the variables for each of the following. 22. 23. WXYZ is a rectangle WY = 5x – 9 6x + 22 XZ = 4x + 15 y 8x – 10 x = 16 x = 24 y = 90 24. JKLM is a kite. 25. Find the length of the midsegment in the trapezoid below. 15 mm 5x 15 22 in 10x+2 11x-1 2336 x=3 midsegment = 19 26. Find the values of x and y in the rhombus below. 10 m x = 8.8 m 4.7 28 x y y = 62