Name: Date: Ms. D’Amato Block:
Essentials of Geometry Test Review
Part I: Matching.
For questions #1 – 30, match each term on the left with its definition on the right.
1. Undefined terms
2. Collinear points
3. Coplanar points
4. Defined terms
5. Line segment
6. Ray
7. Opposite rays
8. Intersection
9. Postulate/axiom
10. Coordinate
11. Distance
12. Between
13. Congruent segments
14. Midpoint
15. Segment bisector
16. Point
17. Line
18. Plane 19. Complementary Angles
20. Supplementary Angles
21. Acute Angle
22. Obtuse Angle
23. Right Angle
24. Straight Angle
25. Linear Pair Angles
26. A. line segment AB
27. B. distance of AB
28. C. ray AB
29. D. congruent to
30. E. line AB
Part II: Identify Points, Line and Planes.
For questions #31 – 34, use the diagram to the right.
31.] Name the sets of collinear points.
32.] What is the intersection of line m and line l?
33.] What is the intersection of plane S and plane R?
34.] What is another name for plane R? for plane S? For questions #35 – 42, use the diagram to the right.
35.] Name the intersection of and .
36.] Name the intersection of plane EFG and plane FGS.
37.] Name the intersection of plane PQS and plane HGS.
38.] Are points P, Q, and F collinear? Are they coplanar?
39.] Are points P and G collinear? Are they coplanar?
40.] Name three planes that intersect at point E.
41.] Identify, if any, a point that is coplanar with points P, E, and R.
42.] Identify, if any, three points that are collinear.
Part III: Use Segments and Congruence
43.] In the diagram of collinear points, GK = 24, HJ = 10 and GH = HI = IJ. Find the indicated lengths.
A] HI = B] IJ =
C] GH = D] JK =
E] IG = F] IK = For questions #44 – 45, find the indicated length.
44.] Find BC. 45.] Find RT.
46.] Point S is between R and T on . Use the given information to write an equation in terms of x. Solve the equation. Then find RS, ST and RT. Draw a picture!
RS = x – 5 ST = 3x + 2 RT = 6x – 23
Part IV: Use Midpoint and Distance Formulas
For questions #47 – 48, M is the midpoint of the segment. Find the indicated length.
47.] Find MF. 48.] Find LN.
For questions #49 – 50, find the coordinates of the midpoint of the segment with the given endpoints.
49.] C(-4, 4) and D(7, 2) 50.] G(7, -6) and H(5, -8)
For questions #51 – 52, use the given endpoint R and midpoint M of to find the coordinates of the other endpoint S.
51.] R(0, 5), M(3, 3) 52.] R(-1, -3), M(5, 9)
For questions #53 – 54, find the length of the segment with the following points.
53.] (-2, -4) and (3, 8) 54.] (-5, 8) and (-10, 14)
For questions #55 – 56, the endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.
55.] : A(1, 1), B(0, 5) 56.] : J(4, 3), K(-1, 6) : C(1, 1), D(-3, 2) : L(2, -3), M(-2, 0) Part V: Measure and Classify Angles
57.] Given mADC = 118°, find mADB. 58.] Given mEHG = 77°, find mFHG.
For questions #59 – 61, bisects ABC. Find mABC.
59.] 60.]
61.] Careful with this one!
mABC = 15x – 21 mDBC = 6x + 3 Part VI: Describe Angle Pair Relationships
62.] The measure of one angle is three times the measure of its complement. Find the measure of each angle. Draw a picture.
63.] Two angles form a linear pair. The measure of one angle is 15 times the measure of the other angle. Find the measure of each angle. Draw a picture.
For questions #64 – 68, find the values of x and y. Then find the measure of each angle.
64.] 65.] 66.] 67.]
68.]
69.] A and B are complementary angles. 70.] A and B are supplementary angles Find mA and mB. Find mA and mB.
mA = (4x – 18)° mA = (x + 50)° mB = (6x – 18)° mB = (x + 100)°