Geometry Unit 5 Practice Test
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1 Name: Class: Date: ID: X Geometry Unit 5 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x in the rectangle? Hint: use system of equations. a. x 42 c. x 8 b. x 24 d. x 4 2. A wooden frame has screws at A, B, C, and D so that the sides of it can be pressed to change the angles occurring at each vertex. and, even when the angles change. Why is the frame always a parallelogram? a. The angles always stay the same, so ABCD is a parallelogram b. One pair of opposite sides is congruent and parallel, so ABCD is a parallelogram c. All sides are congruent, so ABCD is a parallelogram d. One pair of opposite sides is congruent, so ABCD is a parallelogram 1
2 3. A student is given the following information and then asked to write a paragraph proof. Determine which statement would correctly complete the student s proof. Given: Parallelogram and Parallelogram Prove: Proof: We are given Parallelogram and Parallelogram. Since opposite angles of a parallelogram are congruent, and.. a. Therefore, by the Transitive Property of Congruence. b. Therefore, by the Transformative Property of Congruence. c. Therefore, by the Reflective Property of Congruence. d. Therefore, by the Reflexive Property of Congruence. 2
3 4. Given points and. Which of the following points must be point A in order for the quadrilateral to be a parallelogram? a. c. b. d. 5. Use slope or the distance formula to determine the most precise name for the figure:. a. Kite c. Trapezoid b. Rhombus d. Square 3
4 Short Answer 6. Complete the statement about parallelogram ABCD. CDA 7. Complete the statement about parallelogram ABCD. 8. AD Determine whether the quadrilateral is a parallelogram. Justify your answer. 9. 4
5 10. Quadrilateral ABCD is a rectangle. If AG 4k 24 and DG 9k 102, find BD. 11. Quadrilateral ABCD is a rectangle. If ADB 2y 40 and CDB 3y 51, find CBD. 12. In rhombus TUVW, if m TUW 34, find m UVT. 13. For trapezoid JKLM, A and B are midpoints of the legs. Find ML. 5
6 14. For trapezoid JKLM, A and B are midpoints of the legs. Find AB. (13-15) Use the parallelogram ABCD to find the measure or value as indicated. 15. m DFC 16. Find the measure of p m ACD - 6
7 18. Determine whether the figure with the given vertices is a parallelogram. Use the method indicated. A 7, 4, B 5, 4, C 7, 6, D 5, 6 ; Slope Formula 19. For trapezoid ABCD, E and F are midpoints of the legs. Let EF be the median of ABFE. Find EF. 20. For trapezoid JKLM, A and B are midpoints of the legs. Find ML. 7
8 21. In rhombus YZ AB, if YZ 12, find AB. 22. Reflecting over which line will map the rhombus onto itself? (hint: draw and name line) 23. is a rhombus. If and, find the value of. 8
9 Essay 24. a. Find the values of x and y. Explain which properties of parallelograms are applied to find these values. b. If ADC 60, then what is the measure of ABC and DAB? Explain which properties of parallelograms are applied to find these angles. 9
10 ID: X Geometry Unit 5 Practice Test Answer Section MULTIPLE CHOICE 1. B 2. B 3. A 4. C 5. B SHORT ANSWER 6. ABC; Opposite angles of parallelograms are congruent. 7. BC; Opposite sides of parallelograms are congruent. 8. Yes; Opposite angles are congruent. 9. No; Opposite angles are not congruent m DFC 180 AFD The sum of the measure of the angles in DFC is Yes Using the method indicated, determine if the points form a parallelogram. If the opposite sides are congruent, the slopes of opposite sides are congruent, or the diagonals share the same midpoint, then the points form a parallelogram y 2x 23. x 3.8 1
11 ID: X ESSAY 24. a. x 3; y 4; Opposite sides of a parallelogram are congruent. Diagonals of a parallelogram bisect each other. b. ABC 60 ; DAB 120 ; Opposite angles of a parallelogram are congruent. Consecutive anglesof a parallelogram are supplementary. State and apply the properties of a parallelogram. Assessment Rubric Level 3 Superior *Shows thorough understanding of concepts. *Uses appropriate strategies. *Computation is correct. *Written explanation is exemplary. *Diagram/table/chart is accurate (as applicable). *Goes beyond requirements of problem. Level 2 Satisfactory *Shows understanding of concepts. *Uses appropriate strategies. *Computation is mostly correct. *Written explanation is effective. *Diagram/table/chart is mostly accurate (as applicable). *Satisfies all requirements of problem. Level 1 Nearly Satisfactory *Shows understanding of most concepts. *May not use appropriate strategies. *Computation is mostly correct. *Written explanation is satisfactory. *Diagram/table/chart is mostly accurate (as applicable). *Satisfies most of the requirements of problem. Level 0 Unsatisfactory *Shows little or no understanding of the concept. *May not use appropriate strategies. *Computation is incorrect. *Written explanation is not satisfactory. *Diagram/table/chart is not accurate (as applicable). *Does not satisfy requirements of problem. 2
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