Geometry Unit 1 Review
Name ________________________
Use the figure to answer Exercises 1–4.
1. Name three collinear points. ____ _____
_______
2. Name four coplanar points. _____ _____ _____ _____
3. Name a point that is noncoplanar with Plane CGH
A
______
4. Find each intersection if it exists.
E
a. Plane ABED and plane BCGD ___________
c. GC and CM
____________
d. Plane ABD and BC
____________
e. Plane FKL and Plane GCJ
____________
f. Plane GCH and GH
____________
D
B
C
J
G
M
H
F
L
K
Figure for questions 3-4
For questions 5-7, use the figure above to decide if each statement is true or false. If false, CORRECT THE
STATEMENT!!!
5. True or False. Plane ABDE is parallel to Plane GCMH._______________________________________
6. True or False. EF is perpendicular to BC . ________________________________________
7. True or False. EF is skew to line CM . ________________________________________________
For questions 8-9, use the diagram to find the following. Do not use a protractor to answer these.
8. a.) Name a pair of supplementary angles. ___________ and __________
b) Complementary to
1 : ______________
c) Acute and adjacent to
d) Vertical to
2 : ______________
3 : ______________
e) Supplementary to
2 : _______________
9. If m5  50 
a) Find m1 = ______________
b) Find
m2
c) Find
m3
= ______________
= _______________
10. What is the definition of skew lines?
For problems 11-12, use the diagram to find and state theorem
Hint: Special pair name
11.
or postulate that justifies your answer.
12.
Given: r || t
m  2 = ________ by
______
m  1 = ____________
by
______
m  5 = _______ by
______
m  2= _____________ by
______
13. Find the value of x for which a || t.
a)
b)
x = _______
a
x = _______
t
Use the given information to determine which lines must be parallel. State the
your answer. If there are no such lines, write none. Hint use the trace method
14. 3  4 Lines:
Postulate/theorem:
15. 6  8 Lines:
Postulate/theorem:
16. 3  8 Lines:
Postulate/theorem:
17. 1  5 Lines:
Postulate/theorem:
18. 7  8  180 Lines:
19.
Postulate/theorem:
10  11  180 Lines:
Postulate/theorem:
Use the figure at the right.
20. e, f and g are collinear. ______________
21. a, b, and c are coplanar. _____________
22. What is another name for plane R? _____________
23. What is the intersection of line bc and plane M __________
24. What is the intersection of line dh and plane R __________
25. What is the intersection of line ef and line hd? ___________
26. What is the intersection of line bc and line eh? _____________
theorem or postulate that justifies
Name the angle asked for.
27. vertical to <ABF
28. supplementary to <FBC
29. adjacent to < ABE
30. complementary to < DBC
31. If < ABF is 62o, what it the measure for < CBF? __________
For Questions 32-33, use the figure at the right.
True or False. If false, find the correct answer,
32a. ADB and BDC are supplementary angles. ___________
32b. ADB and BDC are complementary angles. ___________
32c. ADE and CDF are vertical angles. ____________
If BDC = 60o, then…
33a. Find ADB
33b. Find EDB
33c. Find CDF
33d. Find ADE
Find the value of x for Questions 34-35.
34.
35.
m BDK = 3x + 4, m JDR = 5x – 10
36a. Draw a 122o angle.
36b. Classify the angle as acute, obtuse, right, or straight
Find m  1 and then m  2. Justify your answer.
37.
38.
 1 = ________
 1 = ________
Justify:
Justify:
 2 = __________
 2 = __________
Justify:
Justify:
 1 = ________
39.
40.
Justify:
 1 = ________
Justify:
 2 = __________
 2 = __________
Justify:
Justify:
Find the value of x for which l || m. Show your work.
41.
42.
43. Find the missing angles.
a.
= ______
b.
= ______
c.
= ______
d.
= ______
e.
= ______
Constructions. Make sure to show all of your construction marks.
44. Construct congruent angles.
45. Construct the perpendicular bisector.
____________________
46. Bisect the angle.