advertisement

Name:________________________ Geometry Chapter 6 Test A Per:__________ Date:___________________ Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which statement is true? a. All quadrilaterals are rectangles. b. All quadrilaterals are squares. c. All rectangles are quadrilaterals. d. All quadrilaterals are parallelograms. ____ 2. For the parallelogram, if 3 find The diagram is not to scale. 4 2 1 a. 9 ____ and b. 17 c. 173 d. 163 3. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. A B 4x – 2 y + 14 4y – 7 x + 28 D C a. x = 10, y = 38 ____ b. x = 10, y = 21 c. x = 10, y = 7 4. If and be a parallelogram. The diagram is not to scale. O M a. x = 4, y = 5 b. find the values of x and y for which LMNO must N L x = 4, y = 1 5 d. x = 7, y = 10 c. 1 5 d. x = 11, y = 5 x = 11, y = ____ 5. DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find the value of x and the length of each diagonal. a. x = 4, DF = 13, EG = 13 c. x = 4, DF = 15, EG = 15 b. x = 4, DF = 15, EG = 18 d. x = 2, DF = 13, EG = 13 ____ 6. Find the values of a and b. The diagram is not to scale. a° 113° 36° b° a. b. ____ c. d. 7. The isosceles trapezoid is part of an isosceles triangle with a 46° 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. a. 67°; 134° b. 67°; 113° c. 46°; 134° ____ 8. Which description does NOT guarantee that a trapezoid is isosceles? a. congruent bases b. congruent diagonals c. both pairs of base angles congruent d. congruent legs ____ 9. a. 151 are base angles of isosceles trapezoid JKLM. If (Draw a picture) b. 1 c. 29 d. 46°; 113° and d. 75.5 ____ 10. In quadrilateral MNOP, MNOP be? (Draw a picture) a. parallelogram or rhombus b. parallelogram only Which of a parallelogram, trapezoid, or rhombus could quadrilateral c. trapezoid only d. any of the three Short Answer 11. Isosceles trapezoid ABCD has legs find the value of y. (Draw a picture) and and base If AB = 4y – 3, BC = 3y – 4, and CD = 5y – 10, 11. y = _______________ 12. Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale. 12. ___________________ | m1 __________ 4 3 | | m2 __________ m3 __________ 1 2 m4 __________ | 13. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale. 5x 13. y = _______________ x + 13 5y x = _______________ length short side_________ y + 31 length long side__________ 14. Complete this statement: For parallelogram ABCD, Then state a definition or theorem that justifies your answer. D 14. BO _______________ C _______________________ O A B 15. Find the values of the variables and the lengths of the sides of this kite. y–2 | x+ 2 15. y = ________________ | 2x + 2 length long side__________ || || x = ________________ length short side_________ x + 11 16. ABCD is a parallelogram. If A then The diagram is not to scale. B 16. mBCD ___________ D C 17. Find the values of the variables in the parallelogram. The diagram is not to scale. 29 17. x = ________________ 102 y =_________________ z =_________________ y° z° x° 18. Find in the kite. The diagram is not to scale. 18. m1 ______________ | A D m3 ______________ | 1 2 B || || 3 39° C 19. and Find The diagram is not to scale. 19. =______________ R | | S || || U T 20. ABCD is a parallelogram. If A then 20. mBCD _____________ B D The diagram is not to scale. C 21. Find AM in the parallelogram if PN =9 and AO = 4. The diagram is not to scale. M N 21. AM _______________ A P O 22. Find the coordinates of the midpoint of the segment with the given endpoints. P( 10, -1) and Q( 7, 3) 22. ________________________ In the rhombus, not to scale. Find the value of each variable. The diagram is | 23. | 23. y = ________________ 3 x = ________________ 1 | | 2 z = _________________ 24. One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 74 cm. Find the lengths of the sides of the kite. 24. length short sides ______________ length long sides _______________ 25. Find the length of the segment. Simplify the radical! 25. TR = _______________ EXTRA CREDIT 26. Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. (1 point) 26. _______________________ R( -3, 7), M( 2, -4) 27. Write a proof (3 points) Given: Prove: VX = XT, SX = XU V Statements U X S T Reasons