Essentials of Geometry Test Review

Name: Date: Ms. D’Amato Block:

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 mADC = 118°, find mADB. 58.] Given mEHG = 77°, find mFHG.

For questions #59 – 61, bisects ABC. Find mABC.

59.] 60.]

61.] Careful with this one!

mABC = 15x – 21 mDBC = 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.]

69.] A and B are complementary angles. 70.] A and B are supplementary angles Find mA and mB. Find mA and mB.

mA = (4x – 18)° mA = (x + 50)° mB = (6x – 18)° mB = (x + 100)°