advertisement

Geometry Chapter 6 Test Review Find the value of each variable. The diagram is | | 2. In the rhombus, not to scale. 3 1 | | 2 3. ABCD is a parallelogram. If A then The diagram is not to scale. B D C 4. Find in the kite. The diagram is not to scale. | 3 1 2 B || || D 30° | A C 5. ABCD is a parallelogram. If A D then The diagram is not to scale. B C 6. Isosceles trapezoid ABCD has legs and find the value of y. (Draw a picture) and base If AB = 4y – 4, BC = 4y – 7, and CD = 5y – 17, 7. Find AM in the parallelogram if PN =10 and AO = 6. The diagram is not to scale. M N A P O 8. Complete this statement: For parallelogram ABCD, DC = ________ Then state a definition or theorem that justifies your answer. D C O A B 9. Find the values of the variables in the parallelogram. The diagram is not to scale. 39 103 y° z° x° 10. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale. 8x 6x + 6 4y 2y + 22 11. One side of a kite is 3 cm less than four times the length of another side. The perimeter of the kite is 57 cm. Find the lengths of the sides of the kite. (Draw a picture) 12. Find the values of the variables and the lengths of the sides of this kite. y–2 | x+ 2 || || | 2x + 4 x+ 8 13. Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale. | 4 | | 3 1 2 14. | and Find The diagram is not to scale. R | | S || || U T 15. The isosceles trapezoid is part of an isosceles triangle with a 44° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale. 17. Find the values of a and b for this trapezoid. The diagram is not to scale. a° 115° 64° b° 18. are base angles of isosceles trapezoid JKLM. If (Draw a picture) and 19. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. A B 3x – 1 y + 23 5y – 5 x+ 9 D C 20. If and be a parallelogram. The diagram is not to scale. O find the values of x and y for which LMNO must N L M 21. DEFG is a rectangle. DF = 4x – 4 and EG = x + 14. Find the value of x and the length of each diagonal. (Draw a picture) 22. For the parallelogram, if 3 2 and find 4 1 23. Use the points A(-3, 6) and B(5, -2) to answer parts a and b. a. Find AB to the nearest 10th. b. Find the midpoint of the segment AB. The diagram is not to scale.