NAME______DATE______PER.______

REVIEW SHEET: GEOMETRY BASICS

PART 1. POINTS, LINES, & PLANES

Identify the following terms defined below.

1. ______/ An exact location in space with an indefinite shape and size.
2. ______/ An object with no thickness that extends infinitely in two directions.
3. ______/ Part of a line consisting of two endpoints and all the points in between.
4. ______/ Part of a line consisting of one endpoint and extending infinitely in one direction.
5. ______/ Rays that share a common endpoint, but continue infinitely in opposite directions.
6. ______/ A flat surface that continues infinitely in all directions.
7. ______/ Points that lie on the same line.
8. ______/ Points that do not lie on the same line.
9. ______/ Points that lie on the same plane.
10. ______/ Points that do not lie on the same plane.

Using the figure below, tell whether each statement is TRUE or FALSE. If FALSE, provide an explanation.


______/ 11. AE is contained in M.
Explanation:
______/ 12. F and B are collinear.
Explanation:

______/ 13. DE and CD are opposite rays.
Explanation:
______/ 14. C, A, & F are coplanar.
Explanation:
______/ 15. N and M intersect at D.
Explanation:

Using the figure below, name each of the following, and provide an explanation.

16. The intersection of BAF and GHE:______
Explanation:

17. The intersection of CDA and HC:______
Explanation:
18. A point collinear with G:______
Explanation:

PART 2. SEGEMENTS & DISTANCE

The numbers given are the coordinates of two points on a number line. Find the distance between the two points.

19.  d = ______/ -3 and 5
20.  d = ______/ -11 and -27

Given that B is between A and C, find the indicated length.

21. BC = ______

/ AB = 5.3 and AC = 6.7. Find BC.
22. AC = ______/ AB = 21 and BC = 4.3. Find AC.

If B is between A and C, find the value of ‘x’ and BC.

23. x = ______
BC = ______/ AB = 3x, BC = 5x, and AC = 8.
24. x = ______
BC = ______/ AB = 3(x + 7), BC = 2(x – 3), and AC = 50.

Find the length of the segment formed by connecting the points with the given coordinates.

25. d = ______/ (3, 1) and (2, 4)

26. d = ______/ (-1, 4) and (-3, -4)

PART 3. SEGMENTS & MIDPOINTS

The numbers given are the coordinates of two points on a number line. Find the midpoint of the segment joining the two points.

27. midpoint:______/ -2 and 6
28. midpoint:______/ 4 and 12

Find the midpoint the segment formed by connecting each pair of coordinates.

29. midpoint:______/ (0, 0) and (2, 5)
30. midpoint:______/ (-3, 3) and (-8, -5)

Given that B is the midpoint of AC, find the coordinates of the endpoint indicated.

31.  C(______, ______) / A(-5, 1) and B(-2, 0)
32. A(______, ______) / B(3, 7) and C(5, 10)

PART 4. SEGMENTS AND BISECTORS

In the figure below, CD bisects AB at D. For each of the following, find the value of ‘x’ and the measure of the segment indicated.


33. x = ______
AB = ______/ AD = 2x + 11
DB = 4x – 5
34. x = ______
AD = ______/ AB = 5x – 4
DB = x + 1