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 πβ πΆπ·π΄ = 111Β°. Find πβ π΄π΅πΆ.
18. If πβ π·π΄π΅ = 69Β°. Find πβ π΄π΅πΆ.
19. If πβ π΄π·π = 32Β° and πβ π΄π΅π = 58Β° . Find πβ π·πΆπ΅.
Use the properties of trapezoids to answer the following questions. Μ
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20. State the value congruent to: ππ
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28. 30. 29.
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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. Μ
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β
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π΄π΅ β
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π·π΄ , π΅πΆ πΆπ· and Μ
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π΄πΆ β₯ Μ
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π΅π·
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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