HONORS GEOMETRY—CHAPTER 3—TEST REVIEW
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW
NAME: _________________________________ DATE: _______ PERIOD: _____
# 1. Which is a pair of parallel planes? ______________
[A] DEO and NHG [B] EFG and NJI
[C] EFG and KMI [D] NJK and NJI
# 2. Define:
[1] skew lines: ______________________________________________________
[2] perpendicular lines: _______________________________________________
[3] parallel lines: ____________________________________________________
# 3. Use the figure below:
(a.) List all lines intersecting AB.
__________________________
(b.) List all lines skew to DC.
__________________________
(c.) List all lines parallel to CG.
__________________________
# 4. (a.) Paraphrase the Parallel Postulate. _______________________________________
(b.) Paraphrase the Perpendicular Postulate. __________________________________
# 5. What are the seven ways to prove that lines are parallel?
1) ________________________________________________________________
2) ________________________________________________________________
3) ________________________________________________________________
4) ________________________________________________________________
5) ________________________________________________________________
6) ________________________________________________________________
7) ________________________________________________________________
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW—PAGE 2
# 6.
(a.) What type of angles are ( 6
and ( 2? _______________
(b.) What type of angles are ( 1
and ( 5? _____________
(c.) What type of angles are ( 2 and ( 4? ___________________________________
(d.) What type of angles are ( 3 and ( 6? __________________________________
(e.) What type of angles are ( 2 and ( 8? __________________________________
# 7.
Find m ( 1 and m ( 2 in the figure above. PQ and RS are parallel.
m ( 1 = ____________ m ( 2 = ____________
# 8.
In the figure shown, HC | | GD and m ( ABC = 113(. Which of the following statements
is false? _______
[A] m ( GEF = 113( [B] m ( DEF = 67(
[C] ( HBF and ( AED are alternate interior angles.
[D] ( ABH and ( AEG are corresponding angles.
# 9. Which lines, if any, can be proved parallel given the
diagram? For each conclusion, provide the
justification. _____________________________
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW—PAGE 3
# 10. Which lines, if any, must be parallel on the
given diagram and situation?
Give the justification for each conclusion.
Given: ( 2 is supplementary to ( 9.
__________________________________________
# 11. Use the figure and the given information to determine which lines must be parallel.
Given: ( 1 ( ( 3. ________________
# 12. Which lines, if any, can be proved parallel given the following diagram? __________
# 13. Find the slope of the line. ________
# 14. Find the a) slope, b) midpoint, and c) distance of the line or line segment passing
through the points A(- 8, - 3) and B (- 5, - 2).
a) ________________ b) __________________ c) ___________________
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW—PAGE 4
# 15. What is the slope of a line parallel to the line 5 x + 3 y = 7? _____________
# 16. A line parallel to y = 2/3 x – 7 is _________.
[A] y = 3/2 x + 2 [B] y = 2/3 x + 1
[C] y = - 3/2 x + 7 [D] y = - 2/3 x – 7
# 17. Find the slope-intercept form of the line passing through the point (3, - 5) and
parallel to the line y = - 4 x + 2. ________________________________
# 18. Which best describes the relationship between the lines with equations - 5 x – 7 y = 1
and - 20 x – 28 y = 4? _____________
[A] perpendicular [B] same line [C] neither parallel nor perpendicular
[D] parallel
# 19. What is the slope of a line perpendicular to the line 2 x + 4 y = 9? ___________
# 20. What best describes the relationship between Line 1 and Line 2?
Line 1 passes through (- 7, - 9) and (- 12, - 6).
Line 2 passes through (- 4, 8) and (- 9, 11).
______________________________________
# 21. Write the slope-intercept form of the equation of the line passing through the point
(- 1, 2) and perpendicular to the line y = - 5/6 x + 2. __________________
# 22. Find k such that (- 3, 4) and (2, k) have a slope of ¾ . ________________
# 23. Graph and give the slope of:
a) y = 3 b) x = 5
m = _______ m = ___________
c) y = 3 x – 4
m = __________________
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW—PAGE 5
# 24. Find the value of x in the diagram. x = ____________
# 25. Find m ( 1 in the following diagram. m ( 1 = ____________
# 26. Find the m ( 2 in the following diagram. m ( 2 = ____________
-----------------------
D
E
F
G
H
I
J
K
N
O
L
M
A
B
C
D
E
F
G
H
n
l
m
1
2
3
4
5
6
7
8
P
Q
R
S
65(
1
2
A
B
C
D
E
F
G
H
a
b
c
d
28(
151(
9
8
7
6
3
4
2
5
d
c
b
a
1
1
2
3
4
5
l
m
n
p
72(
34(
74(
32(
a
b
c
d
e
(5 x – 20)(
(3 x + 52)(
136(
42(
1
(3 x – 2)(
(5 x – 10)(
2
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