Name:_____________________ Date:___________________ Period:______ Geometry Test: Chapter 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1._________________ 1. Based on the pattern, what are the next two terms of the sequence? ,... a. c. b. d. 2. Find a counterexample to show that the conjecture is false. Conjecture: Any number that is divisible by 4 is also divisible by 8. a. 24 b. 40 c. 12 2._________________ d. 16 3._________________ 3. Are O, N, and P collinear? If so, name the line on which they lie. O N M a. b. c. d. P No, the three points are not collinear. Yes, they lie on the line MP. Yes, they lie on the line NP. Yes, they lie on the line MO. 4._________________ 4. What is the intersection of plane TUYX and plane VUYZ? a. b. c. d. A Name:_____________________ Date:___________________ Period:______ 5._________________ 5. Name the four labeled segments that are skew to a. b. , , , , c. d. , , A , , , , , , 6._________________ 6. How are the two angles related? 52° 128° Drawing not to scale a. vertical b. supplementary c. complementary d. adjacent 7. The complement of an angle is 25°. What is the measure of the angle? a. 75° b. 155° c. 65° d. 165° 7._________________ Use the diagram to decide whether the given statement is true or false. 8. The intersection of line a and XY is point M. L 9. YX and XY are opposite rays. 8._________________ 9._________________ 10. Another name for plane C is plane LMY. 11. Points X, M, and Y are collinear. 10.________________ 11.________________ Short Answer: Use the diagram below to answer questions #12-13 12. Give another name for plane LMP 13. Give 2 names for line a 12.________________ 13.________________ Name:_____________________ Date:___________________ Period:______ Sketch the fourth figure in the pattern. 14.________________ 14. Write the next three numbers in the pattern. 15.________________ 15. -4, 2, -1, ½ … Find a counterexample to disprove the conjecture 16. All acute angles are complementary. 16.________________ 17. The sum of two odd integers is always odd. 17.________________ Use the diagram and segment lengths to find the indicated measure. 18. Find MN. 19. Find NP. 47 M N 18.________________ 14x-6 25 P M 6x+4 N P 19.________________ 3x Point J is between H and K on HK. Use the given information to write an equation in terms of x. Solve the equation. Then find HJ and JK. 20.HJ=____ JK=_____ 20. HJ = 5x – 6 JK = 2x KH = 3x + 2 In the diagram below, M is the midpoint of the segment. Find the indicated length. 21.________________ 21. Find MR. 6x-5 P -2x +43 M R In exercises 25-26, use the diagram on the right. Tell whether the angles Are vertical, adjacent, or neither. 22.________________ 22. 3 and 5 3 23. 1 and 4 4 2 5 1 23.________________ A Name:_____________________ Date:___________________ Period:______ A Use the given information to find the given angle measure. 24. Given mQST = 135, find mQSR 24.________________ R Q (3x+1) (2x-6) S T Find the values of x and y 25. 25.________________ (5x) (12x-41) (5y) Tell whether the statement is always, sometimes, or never true. 26. Opposite rays are ___________ collinear. 27. Vertical angles are ____________ adjacent. 28. Skew lines are ____________ coplanar. 26.________________ 27.________________ 28.________________