This document is a comprehensive review guide for Unit 3 of a Geometry course, designed to help students prepare for their upcoming test. It includes various topics such as the language of angles, parallel lines and angles, proofs, and writing equations for lines. The guide is structured with multiple-choice questions, angle classification, and proofs that require students to apply their knowledge of geometric concepts. Additionally, it features problems related to finding slopes, distances, and midpoints, as well as identifying parallel and perpendicular lines. This resource is ideal for high school students seeking to reinforce their understanding of geometry principles and improve their test-taking skills. The document is formatted as a PDF for easy access and printing.
Geometry – Unit 3 - Test Review (due on the day of the test) 23-24
1
Name ____________________________________ Date ____________________
Topic 1: Language of Angles
_____ 1. slope A. lines with slopes that are opposite reciprocals
_____ 2. parallel B. lines with the same slope & same y-intercept
_____ 3. perpendicular C. ratio of the change in y’s compared to change in x’s
_____ 4. skew D. coplanar lines that are not coinciding, parallel or perpendicular
_____ 5. oblique E. lines with the same slope & different y-intercepts
_____ 6. transversal F. lines that are not coplanar and never intersect
_____ 7. coinciding G. the line that cuts across parallel lines
Use the diagram and circle one choice for each sentence.
8.
AB
and
DH
are parallel / perpendicular / skew
9.
AB
and
AE
are parallel / perpendicular / skew
10.
AB
and
DC
are parallel / perpendicular / skew
11.
DC
and
DF
are parallel / perpendicular / skew
Use the diagram for #21 – 28. Classify the angles as vertical, linear pair, consecutive interior,
corresponding, alternate interior, alternate exterior, same-side exterior, or none of these.
12.
2 and 4
______________________________
13.
6 and 5
______________________________
14.
12 and 8
______________________________
15.
3and 8
______________________________
16.
3and 5
______________________________
17.
7 and 11
______________________________
18.
4 and 10
______________________________
19.
2 and 10
______________________________
A
B
C
D
F
E
G
H
a
n
m
1
2
3
4
6
5
7
8
9
11
12
10
b
Geometry – Unit 3 - Test Review (due on the day of the test) 23-24
2
Topic 2: Parallel Lines and Angles
Based on the diagram, for each circle which equation is true? If no equation is true, circle “NP” for
not possible. Remember to consider the parallel lines. Not all lines are parallel. (Highlighters!)
20. b & d: b=d / b+d=180 / NP
21. m & n: m=n / m+n=180 / NP
22. c & e: c=e / c+e=180 / NP
23. f & g: f=g / f+g=180 / NP
24. a & f: a=f / a+f=180 / NP
25. e & h: e=h / e+h=180 / NP
26. n & r: n=r / n+r=180 / NP
27. a & k: a=k / a+k=180 / NP
28. p & q: p=q / p+q=180 / NP
In the diagram below, a || b and m || n. Classify the pairs of angles as complementary, supplementary
or congruent. Justify your answer by naming the angle pair relationship name (ex: corresponding).
29.
1 and
2 are ____________________ 30.
1 and
11 are ____________________
because they are____________________ because they are____________________
31.
4 and
7 are ____________________ 32.
9 and
10 are ____________________
because they are____________________ because they are____________________
33.
6 and
7 are ____________________ 34.
7 and
9 are ____________________
because they are____________________ because they are____________________
a
b
c
d
k
e
f
g
h
r
p
q
n
m
a
n
m
1
2
3
4
6
5
7
8
9
11
12
10
b
Geometry – Unit 3 - Test Review (due on the day of the test) 23-24
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Identify the types of angles and their relationship. Write the equation and solve for x.
35. 36.
Angle Pair Name: ____________________ Angle Pair Name: ____________________
relationship: congruent / supplementary relationship: congruent / supplementary
equation: _________________________ equation: _________________________
x = ___________ x = ___________
Find the values of the variables. Put a box around your answer.
37. 38.
x = _______ x = _____
(32 – 5x)°
( )°
(5x + 37)°
( )°
End of Document
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