The document contains geometry problems involving angles, lines, line segments, rays, and parallel and perpendicular lines. It asks the reader to solve equations for variables, find lengths of line segments, identify angle measures and relationships, and match geometric terms to their definitions. It provides diagrams to aid in solving problems about angles, intersections, and parallelism.

1. Use the diagram for numbers 11-13.
G H J
3x x + 16
If GJ = 32, find the value of each.
11. Solve for x.
a) 3 b) 4 c) 6 d) 6
12. Find GH.
a) 10 b) 11 c) 12 d) 13
13. Find HJ.
a) 20 b) 21 c) 22 d) 23
14. Find the length of PD if the coordinate of P is -7 and the coordinate of D is 4.
a) 10 b) 11 c) 12 d) 13
15. Find the length of SK if the coordinate of S is 17 and the coordinate of K is -5..
a) 16 b) 18 c) 20 d) 22
16. Which of the following is NOT a way to name the angle:
M
1
N P
a) <1 b) <MNP c) <MPN d) <PNM

2. True or False
Use the diagram below for numbers 17 to 22.
2
1 3
4
17. <1 and <2 are vertical angles.
a) True b) False
18. <2 and <3 are supplementary angles.
a) True b) False
19. m<1 = m<3
a) True b) False
20. m<3 + m<4 = 180
a) True b) False
21. m<1 + m<3 = 180
a) True b) False
22. <4 and <2 are adjacent angles.
a) True b) False

3. Matching
_____ 23. Points that lie on the same line a. Point
_____ 24. Lines that never cross b. Line
_____ 25. Part of a line that consists of one c. Plane
endpoint and a line
_____ 26. Identifies a position or location d. Collinear Points
_____ 27. Consists of two points on a line e. Coplanar Points
called endpoints
_____ 28. Has infinite length and is a straight a. LLine Segment
path between two points
_____ 29. Has infinite length and width b. RRay
_____ 30. Points that lie in the same plane c. AAngle
_____ 31. Formed by two rays with a d. IIntersections
common endpoint
_____ 32. Lines that intersect to form ninety e. PParallel Lines
degree angles
_____ 33. Two lines cross at exactly one point a. PPerpendicular Lines
Free Response
34. Solve for x.
3x - 40 2x - 10
6w - 10 6w + 10
35. Solve for w.
4z - 10
36. Solve for z. z