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Geometry Assignment 6A Name: _____________________________ Period: _____ Date: _________________ Decide whether the figure is a parallelogram. If not, explain why not. 1. 2. 3. Use the diagram of parallelogram ABCD at the right to complete the statement. 4. AB _____ A B 5. AD _____ 6. ED _____ E 7. AD _____ 8. AED _____ C D 9. ADC _____ For numbers 10 – 12, find the measures of the numbered angles in the parallelogram. 12. 2 1 10. 2 54˚ 1 51˚ For numbers 13 – 20, find the values of the variables in the parallelogram below. 13. 11. 112˚ 2 x - 10 1 Created 6/2010 Page 1 x + 10 Geometry Assignment 6A Name: _____________________________ Period: _____ Date: _________________ 14. 18. 19. 15. 20. 16. 2x + 12 4x - 2 3y - 3 6y - 15 For number 21 – 25, find the lengths of each side of the parallelogram. 21. 17. 2y - 25 3x y x 22. J x K 8y M Created 6/2010 Page 2 8y - 40 5x + 8 L Geometry Assignment 6A Name: _____________________________ Period: _____ Date: _________________ 23. 27. Given the following triangle: 154 y x What are the values of x and y? 24. x J K 2y M 4y 300 - x L 28. Given the following parallel lines in the diagram: 25. 2(3a + 8) (7a - 14) What is the value of the variable? 26. Using the drawing of ∆ABC, sketch the median to AC. 29. Given the figure below and AEC is a straight angle: A B E C If mBEC 85 , then what is mBEA ? Created 6/2010 Page 3 Geometry Assignment 6A 30. If the following premises (statements) are true, what conclusion can you reach? Name: _____________________________ Period: _____ Date: _________________ 33. Sam feels strong when he lifts weights. 6 8 x 12 Sam is at the gym running on the treadmill. 31. 32. What is the value of the variable? Given the following equation: -5x – 12 = 4x – 30 Given the following proportion: 34. Given the following proportion: What is the value of the variable? 12 15 a2 a Given the following equation: What is the value of the variable? 8(y – 3) = 10(y + 1) 35. What is the value of the variable? Created 6/2010 Page 4 What is the distance between (3, 7) and (-2, 5). Round your answer to the nearest tenth.