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Geometry Assignment 6B Name: _____________________________ Period: _____ Date: _________________ Each figure is a parallelogram. Identify the special type and explain your reasoning. 1. 2. 3. 4. 5. Match the properties of a quadrilateral with ALL of the types of quadrilateral which have that property. 6. The diagonals are congruent. A. Parallelogram 7. Both pairs of opposite sides are congruent. B. Rectangle 8. Both pairs of opposite sides are parallel. C. Rhombus 9. All angles are congruent. D. Square 10. All sides are congruent. 11. Diagonals bisect the angles. Decide whether the statement is sometimes, always, or never true. 12. A rhombus is an equilateral. 13. The diagonals of a rectangle are perpendicular. 14. A square is a rectangle. 15. The consecutive angles of a square are supplementary. 16. The opposite angles of a rhombus are supplementary. Created 6/2010 Page 1 Geometry Assignment 6B Name: _____________________________ Period: _____ Date: _________________ For numbers 17 – 21, find the values of the variables in each quadrilateral. 17. For numbers 22 – 25, find the values of the sides of the given quadrilaterals. y+1 22. A x+1 D 23. A 18. 2v 4y C x + 10 2x - 3 B 15 – 6y 3y 150 - u 150 – v 2u B 3y + 11 y 2x x D C 3x 24. 19. 2x 4y - 1 2a a+5 3-2y 2b + 5 25. x 20. 3x 6y 2y + 11 x+7 26. 21. 5x 2y Created 6/2010 y + 23 3x - 11 Page 2 Using the drawing of ∆EFG, sketch the altitude to EF. Geometry Assignment 6B 27. Name: _____________________________ Period: _____ Date: _________________ Given the following parallel lines in the diagram: 31. Given the following equation: –2(5 – 3x) = 8(2x + 5) (5x + 12)° What is the value of the variable? k 32. (3x + 8)° m 12x + 17 = 8x – 3 What is the value of the variable? n What is the value of the variable? 28. 33. Given the following triangle: y x What is the value of the variable? 110o If the following premises are true, what conclusion can you reach? 35. John always listens to music when he does his homework. John is doing homework. In the figure below, BCD is a right angle. C J B D A K M L If mACD 51 , then what is the mBCA ? Created 6/2010 Given the following proportion: 5 x7 3 x2 What is the value of the variable? What is the value of x and y? 30. Given the following proportion: x 4 12 16 34. 29. Given the following equation: Page 3 What is the distance between (3, -2) and (-1, 0)? Round your answer to the nearest tenth.