Math 3 College Prep Unit 6 Worksheet 2

Name:__________________________________________ Date:_____________________ Period:____________

Find x and y such that the given quadrilateral is a parallelogram. 1. 2.

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Answer each of the following questions. 7. If a property is true in a square, what other figure(s) must it be true in? 8. If a property is true in a rectangle, what other figure(s) must it be true in? 9. If a property is true in a rhombus, what other figure(s) must it be true in? 10. If a property is true in a parallelogram, what other figures must it be true in? 11. If a figure is a rectangle, what else MUST it be? 12. If a figure is a parallelogram, what else MUST it be? 13. If a figure is a square, what else MUST it be?

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Use the properties of parallelograms to answer the following questions. 14. Name the parallelogram. 15. If AD = 10, find BC.

16. If AC = 15, find AX.

17. If 𝑚∠𝐶𝐷𝐴 = 111°. Find 𝑚∠𝐴𝐵𝐶.

18. If 𝑚∠𝐷𝐴𝐵 = 69°. Find 𝑚∠𝐴𝐵𝐶.

19. If 𝑚∠𝐴𝐷𝑋 = 32° and 𝑚∠𝐴𝐵𝑋 = 58° . Find 𝑚∠𝐷𝐶𝐵.

Use the properties of trapezoids to answer the following questions. ̅̅̅̅ 20. State the value congruent to: 𝑄𝑇

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34. 33. Draw the following quadrilaterals. 35. Draw the following and label the 2 bases: TRAP is an isosceles trapezoid with diagonals RP and TA.

36. Draw quadrilateral ABCD. Based on the following facts, state its category. ̅̅̅̅ ̅̅̅̅ ≅ ̅̅̅̅ 𝐴𝐵 ≅ ̅̅̅̅ 𝐷𝐴 , 𝐵𝐶 𝐶𝐷 and ̅̅̅̅ 𝐴𝐶 ⊥ ̅̅̅̅ 𝐵𝐷

Plot the points of the quadrilateral. Then determine the type of quadrilateral. Be sure to include all the math used to prove your decision. 37. (-4,-1), (-4, 6), (2, 6), (2, -4) 38. (-5, 2), (-5, 6), (-1, 6), (2, -1)

Use the properties of kites to answer the following questions. 39. 40. 41.

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