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TEST #2 REVIEW
NAME______________________________________DATE_______________PER.________
TEST #2: GEOMETRY BASICS (textbook 1-1, 1-2, & 1-6)
REVIEW
PART 1. POINTS, LINES, & PLANES
Write a brief, but THOROUGH, description for each of the following terms.
1. Point:
2. Line:
3. Line Segment:
4. Ray:
5. Opposite Rays:
6. Plane:
7. Collinear:
8. Non-Collinear:
9. Coplanar:
10. Non-Coplanar:
TEST #2 REVIEW p.2
Using the figure below, tell whether each statement is TRUE or FALSE. If
FALSE, provide an explanation.
M
_______ 11. AE is contained in M.
Explanation:
F
B
_______ 12. F and B are collinear.
Explanation:
E
D
C
N
A
_______ 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.
B
16. The intersection of BAF and GHE:______________
Explanation:
A
E
F
17. The intersection of CDA and HC:_______________
Explanation:
C
D
18. A point collinear with G:__________
Explanation:
H
G
TEST #2 REVIEW p.3
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 = _______________
AB = 3x, BC = 5x, and AC = 8.
BC = _______________
24. x = _______________
AB = 3(x + 7), BC = 2(x – 3), and AC = 50.
BC = _______________
Find the length of the segment formed by connecting the points with the given
coordinates. Round to the nearest hundredth if necessary.
25. d = _______________
(3, 1) and (2, 4)
TEST #2 REVIEW p.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 of 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)
TEST #2 REVIEW p.5
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 = __________
AD = 2x + 11
DB = 4x – 5
C
B
AB = __________
D
34. x = __________
AB = 5x – 4
DB = x + 1
AD = __________
A
Refer to the figure below to name each of the following. Use appropriate symbols
where necessary.
35. _________
Y
The intersection of X and Y.
N
O
P
36. _________
The intersection of OP and LN.
M
X
L
37. _________
A ray opposite ML.
Find the correct answer for each of the following.
38. AB=___________
B is between A and C. If AB = 7x – 2, BC = 3x + 1 and AC = 59,
Find AB.
39. d = __________
Given the coordinates –7 and 2 on a number line, find the length of
the segment that connects them.
TEST #2 REVIEW p.6
40. d = __________
Find the distance between A(2, -9) and B(-5, 7) on a coordinate
plane. Round to the nearest hundredth if necessary.
41. midpoint:________
Find the coordinate of the midpoint of the segment connecting –3
and 8 on a number line.
42. midpoint:________
Find the coordinates of the midpoint of the segment that joins
A(3, 4) and B(9, 12).
43. A(__________)
If the midpoint of AB is at (2, -3) and B is at (5, 1), what are the
coordinates of A?
44. AB = __________
In the figure below, CX bisects AB at X. If AX = 4y – 1 and XB = 9y
–21, find AB. Round to the nearest hundredth if necessary.
B
X
A
C