Name: ________________________________
Chapter 1 Geometry Test Review
1.) Refer to the figure to the right.
a.) How many planes appear in this figure.
b.) Name three points that are collinear.
c.) Where does FG intersect plane B?
d.) Which four points in the figure are coplanar?
2.) Find the value of x and AP, if P is between A and B and AB = 24 cm. Show all work!
3.) Find the value of GE if E is between G and O in the given figure:
G 2x E
O
6x + 8
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

36
4.) Find the distance of GH . Show all work!
5.) Find the distance between E(-3, 2) and F(4, 5). Show all work!
6.) Find the midpoint of a segment having the endpoints X(4, 2) and Y(8, -6). Show all work!
1
7.) Find the coordinates of the missing midpoint given that S is the midpoint of RT . Show all work!
S (x, y)
T(-2, -4)
R (0, 5)
8.) Refer to the figure to the right.
a.) Name the vertex of 2 .
b.) Name the sides of 4 .
c.) Write the other two names for BDC .
9.) Classify each of the following angles as right, acute, or obtuse.
a.) WXY
b.) YXZ
c.) WXZ
10.) In the figure, QP and QR are opposite rays, and QT bisects RQS .
If mRQT  6 x  5 and mSQT  7 x  2 , find mRQT .
Show all work!
2
Refer to the figure to the right, and circle the correct answer for questions 11 - 14.
11.) Which pair of angles are complementary?
a.) USV , VSW
b.) VSW , WSR
c.) TSV , VSR
d.) TSR, USW
12.) Which angle is vertical to UST ?
a.) VSW
b.) USV
c.) TSR
d.) WSR
13.) Which angle creates a linear pair with USW ?
a.) UST
b.) USV
c.) TSR
d.) VST
14.) Which angle is adjacent to WSV ?
a.) RSV
b.) UST
c.) TSR
d.) USV
15.) The sum of the measures of two supplementary angles is always _________.
a.) 90
b.) 360
c.) 180
d.) 45
16.) What is the supplement of a 45 degree angle? ___________
17.) The sum of the measures of two complementary angles is always _________.
a.) 360
b.) 90
c.) 120
d.) 180
18.) What is the complement of a 38 degree angle? ___________
19.) Find the value of x so that AFC is a right angle.
Show all work!
3
20.) Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.
a.)
b.)
_______________
c.)
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_________________
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21.) Find the perimeter of a regular pentagon whose sides measure 4 meters. Show all work!
22.) Find the length of one side of a regular triangle if the perimeter is 12 inches. Show all work!
23.) Find the measure of each numbered angle.
a.) m1  8 x  18 and m2  16 x  6 .
b.)
7 and 9 are complementary.
m7  6x 15 and m9  2x  21
1
2
24.) Given: 6 x  2( x  1)  30
Statements
Prove: x  4
4
Reasons