Name:_____________________ Date:___________________ Period:______ B Geometry Test: Chapter 1 Use the diagram to decide whether the given statement is true or false. 1._________________ 1. Points X, M, and Y are collinear. L 2._________________ 2. The intersection of line a and XY is point M. 3._________________ 3. Another name for plane C is plane LMY. 4._________________ 4. YX and XY are opposite rays. Short Answer: Use the diagram below to answer questions #12-13 5. ________________ 5. Give 2 names for line a 6. ________________ 6. Give another name for plane LMP Sketch the fourth figure in the pattern. 7. ________________ 7. Write the next three numbers in the pattern. 8. -4, 2, -1, ½ … 8. ________________ Find a counterexample to disprove the conjecture 9. The sum of two odd integers is always odd. 9. ________________ 10. All acute angles are complementary. 10. _______________ 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. 11. _______________ 11. HJ = 5x – 6 JK = 2x KH = 3x + 2 HJ = __________ JK = __________ Use the diagram and segment lengths to find the indicated measure. 12. Find MN. 13. Find NP. 52 M N 23 12. _______________ 6x-6 P M N 2x 13. _______________ 2x+4 P Name:_____________________ Date:___________________ Period:______ In the diagram below, M is the midpoint of the segment. Find the indicated length. 14.________________ 14. Find PM. 7x-2 P -3x +48 R M In exercises 25-26, use the diagram on the right. Tell whether the angles Are vertical, adjacent, or neither. 15. 1 and 4 3 16. 3 and 5 4 2 15.________________ 16.________________ 1 5 Use the given information to find the given angle measure. 17. Given mQST = 145, find mQSR 17.________________ R Q (3x+1) 25.________________ (2x-6) S T 26.________________ Find the values of x and y 18. (6x) (12x-36) (6y) 18. _______________ 27.________________ Tell whether the statement is always, sometimes, or never true. 19. Skew lines are ____________ coplanar. 20. Opposite rays are ___________ collinear. 21. Vertical angles are ____________ adjacent. 19.________________ 20.________________ 28.________________ 21.________________ Name:_____________________ Date:___________________ Period:______ 22. Based on the pattern, what are the next two terms of the sequence? 22.________________ ,... a. c. b. d. 23. Find a counterexample to show that the conjecture is false. Conjecture: Any number that is divisible by 4 is also divisible by 8. a. 16 b. 24 c. 40 d. 12 23.________________ 24. Are O, N, and P collinear? If so, name the line on which they lie. O N M a. b. c. d. 24.________________ P Yes, they lie on the line NP. Yes, they lie on the line MO. Yes, they lie on the line MP. No, the three points are not collinear. 25. What is the intersection of plane TUYX and plane VUYZ? 25.________________ a. b. c. d. Name:_____________________ Date:___________________ Period:______ 26. Name the four labeled segments that are skew to a. b. , , , , c. d. , , 26.________________ , , , , , , 27.________________ 27. How are the two angles related? 52° 128° Drawing not to scale a. complementary b. adjacent c. supplementary d. vertical 28. The complement of an angle is 25°. What is the measure of the angle? a. 65° b. 165° c. 75° d. 155° 28.________________