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NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST 1. Which one of the statements below is FALSE? [C] m QLM [A] A circle is NOT a polygon. [B] A pentagon has 5 sides. [C] A decagon has 10 angles. [D] m PQM 5. Find the value of the variables in the parallelogram. 25 120 [D] An octagon has 10 angles. 2. Find the value of x. 101° 57° y x z x 73° [A] x = 35 , y = 25 , z = 120 3. Complete the statement about parallelogram EFGH. Then state a definition or theorem as the reason. _____ EO [B] x = 60 , y = 12.5 , z = 155 [C] x = 25 , y = 35 , z = 120 [D] x = 12.5 , y = 60 , z = 155 H G 6. Consecutive angles in a parallelogram are always ________. O [A] vertical angles E F 4. For parallelogram PQLM below, if m PML 83 , then m PQL ______ . [B] complementary angles [C] supplementary angles [D] congruent angles 7. Given the following, determine whether quadrilateral XYZW must be a parallelogram. Justify your answer. N is the midpoint of XZ and WY X Y N [A] 97 [B] 83 W Z 8. If the diagonals of a parallelogram are equal in NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST length, then the parallelogram is also what type of y figure? 10 9. Isosceles trapezoid ABCD has legs AB and CD , and base BC. If AB 3y 6, BC 9 y 3, and CD 7 y 9. Find the value of y. D C –10 E B 10. Given: Trapezoid ABCD with midsegment EF . If AB = 16 and EF = 18 , find the length of DC . A 10 x –10 B E 13. The figure below is made up of two squares with the areas shown. What is the length of x? F D 8100 C 1600 11. Find m T in the diagram, if m R m S 50 . x 110 and [A] 4850 S [B] 1212.5 [C] 130 [D] 360 R T 14. A field is 200 m by 260 m. A barn 22 m by 29 m is built in the field. How much area is left over? [A] 52,638 m2 U 12. Prove that quadrilateral BCDE is a rhombus by showing that all four sides are of equal measure. [B] 51,949 m2 [C] 51,375 m2 [D] 51,362 m2 15. Find the area of the shaded triangle. NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST 4 2 8 8m 5 6m 16. Find the height of the triangle if the area is 6.195 cm2 (not drawn to scale). 19. Refer to the figure below. Given: AF 7 cm 2.1 cm 17. The area of the parallelogram is _____. EBCWhich line is a FC , ABE perpendicular bisector in ABC? 20. In rhombus ABCD, AB = 20 and AC = 32. Find the area of the rhombus to the nearest tenth. [A] 379.3 [A] 40 111 sq. units [B] 340 sq. units [B] 384.0 [C] 506.0 [D] 499.6 [C] 800 sq. units [D] 680 sq. units 21. Find the area of the region shown by dividing it into two trapezoids. 18. Find the area of the quadrilateral. (not drawn to scale) 29 13 6 18 [A] 870 sq. units 12 NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST [B] 567 sq. units 137 . Which of the following statements is false? [C] 1134 sq. units C [D] 573 sq. units A T G ABH and [B] m DEF U [C] HBF and angles. R S [D] m GEF 7 x 3 and AE = 2 4x 7 . Assume B is the midpoint of AC and D is the midpoint of CE. F H [A] Q E B 22. Given: SQ bisects RST . Find QR if UT 15 and UQ 36. (not drawn to scale) AEG are corresponding angles. 43 AED are alternate exterior 137 25. Solve for x: 23. Solve for x given BD = C B A [A] D E 1 3 [B] 1 8 [C] 3 [D] 8 24. In the figure shown, HC || GD and m ABC = D b3 x 137 g b3x 31g NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST the distance formula to show that each side has the Reference: [6.1.1.14] same [1] [D] measure. Reference: [6.1.2.21] [2] 129° Reference: [6.2.1.24] [3] OG ; the diagonals of a parallelogram bisect each other. BC c– 4 b– 10gh b– 3 5g 2 10 CD 10 b– 10 0g b5 5g b– 10g b0g DE 10 EB 2 2 b0 6g c5 b– 3gh 2 Reference: [6.2.1.34] [5] [C] c6 b– 4gh c– 3 b– 3gh 2 Reference: [6.7.1.73] [13] [C] Reference: [6.2.1.32] [6] [C] Reference: [6.7.1.75] [14] [D] Reference: [6.3.1.37] [7] Yes. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Reference: [6.7.1.80] [15] 24 m 2 Reference: [6.4.2.50] [8] A rectangle Reference: [6.7.1.82] [16] 5.9 cm Reference: [6.5.1.54] 15 [9] 4 Reference: [6.7.1.88] [17] [D] Reference: [6.7.1.92] [18] 45 sq. units Reference: [6.5.1.58] [10] 20 Reference: [5.2.1.12] [19] GF Reference: [6.5.2.66] [11] 150 Reference: [6.7.2.100] [20] [B] Reference: [6.6.2.70] [12] B – 4 – 3 C – 10 5 D 0 5 E 6 – 3 Use g b 2 2 2 2 b– 6g b8g 2 2 2 b10g b0g 2 2 g b g b g Reference: [6.7.2.97] 36 64 100 0 36 64 2 10 Because all four sides are of equal measure, the quadrilateral is a rhombus. Reference: [6.2.1.28] [4] [B] b 2 b6g b– 8g 100 0 NAME __________________________________ DATE __________ PD. ____ GEOMETRY CHAPTER 6 PRACTICE TEST [21] [B] Reference: [5.2.2.17] [22] 39 Reference: [5.4.1.41] [23] [A] Reference: [3.3.2.20] [24] [C] Reference: [1.6.1.65] [25] 2