Download honors geometry—chapter 3—test review

HONORS GEOMETRY—CHAPTER 3—TEST REVIEW
NAME: _________________________________ DATE: _______ PERIOD: _____
# 1. Which is a pair of parallel planes? ______________
F
E
N
M
K
H
O
L
D
G
[A] DEO and NHG
[B] EFG and NJI
[C] EFG and KMI
[D] NJK and NJI
I
J
# 2. Define:
[1] skew lines: ______________________________________________________
[2] perpendicular lines: _______________________________________________
[3] parallel lines: ____________________________________________________
# 3. Use the figure below:
B
(a.) List all lines intersecting AB.
__________________________
(b.) List all lines skew to DC.
__________________________
D
A
G
F
E
C
(c.) List all lines parallel to CG.
__________________________
H
# 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
n
# 6.
(a.) What type of angles are  6
1 2
and  2? _______________
4 3
8
5 6
7
l
(b.) What type of angles are  1
and  5? _____________
m
(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.
P
Q
65
R
1
S
2
Find m  1 and m  2 in the figure above. PQ and RS are parallel.
m  1 = ____________
m  2 = ____________
# 8.
C
D
A
F
B
E
H
G
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.
a
b
c
28
151
d
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.
c
b
Which lines, if any, must be parallel on the
given diagram and situation?
Give the justification for each conclusion.
43
a
1
2
d
Given:  2 is supplementary to  9.
65
89
7
__________________________________________
# 11. Use the figure and the given information to determine which lines must be parallel.
Given:  1   3. ________________
l
1
2
3
m
5
4
n
p
# 12. Which lines, if any, can be proved parallel given the following diagram? __________
34 72
a
b
32
c
e
74
d
# 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
[C] y = - 3/2 x + 7
[B] y = 2/3 x + 1
[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
[D] parallel
[B] same line
[C] neither parallel nor perpendicular
# 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 = _______
c) y = 3 x – 4
m = __________________
m = ___________
HONORS GEOMETRY—CHAPTER 3—TEST REVIEW—PAGE 5
# 24. Find the value of x in the diagram.
x = ____________
(5 x – 20)
(3 x + 52)
# 25. Find m  1 in the following diagram. m  1 = ____________
1
42
136
# 26. Find the m  2 in the following diagram. m  2 = ____________
(3 x – 2)
(5 x – 10)
2