Geometry
Chapter 3 Review
Name_______________________
Period_______________
In all drawings, be sure to label all points, angles, rays, segments, lines, parallel lines, perpendicular
lines and items of equal measure with the appropriate markings.
1.
Draw ABC as an obtuse angle.
2.
Draw EFG as an acute angle.
Draw
3.
BD as an angle bisector.
Draw complementary, nonadjacent
angles M and N .
Draw
4.
FH as an angle bisector.
Draw supplementary, nonadjacent
angles  P and Q .
Use the drawing below for #5 – #10.
1
2
4
3
5.
Using your drawing from #5, list at least one pair for each type of angles.
A.
Vertical Angles
B.
Linear pair of angles
6.
What does the Linear Pair Theorem state?
7.
If m1 = 24°, what is:
A.
m2 ?
B.
m3 ?
C.
m4 ?
8.
If m2 = 7w, what is:
A.
m1?
B.
m3 ?
C.
m4 ?
9.
If m1 = 4x and m2 = 6x+5,
A.
Find x.
B.
Find the measure of each angle.
10.
If m1 = 2(3y +4) and m3 = 2(y + 34),
A.
Find y
B.
Find the measure of each angle.
11.
Rotate ∆XYZ -85° about point L.
12.
Using the face of a clock,
A.
what is the magnitude of the rotation of
the minute hand from the 2 to the 5?
B.
what is the magnitude of the rotation of
the minute hand from the 10 to the 3?
Y
Z
L
X
13.
Use the drawing below :
A bridge is to be built connecting point A on Highway D to Highway H. Draw the shortest bridge possible.
Highway D
A
Highway H
14.
Use the drawing below for each question.
H
A.
If mFEG  mGED  87 and
mGED  mDEH then what can you
conclude about mFEG and mDEH
using the substitution property?
B.
Make a conclusion about mFEG using the
Equation to Inequality Property?
C.
If
E
D

F
G
mFEG  mGED and
mGED  mDEH , what can you
conclude using the Transitive Property?
15.
Matching.
Choose the statement that illustrates the given property.
a. If AB = CD and CD = XY then AB = XY
______ Substitution Property
b. If x = 35.2 + y, then 7x = 7(35.2 + y)
______ Addition Property of Equality
c. m3 = m3
______ Addition Property of Inequality
______ Equation to Inequality Property
______ Multiplication Property of Equality
______ Multiplication Property of Inequality
______ Reflexive Property of Equality
______ Symmetric Property of Equality
______ Transitive Property of Equality
______ Transitive Property of Inequality
16.
Use the picture below for each question.
A 40°
B
T
C
d. If
mMNO  mABC , then
mMNO  90  mABC  90
e. If 2(UV) = 17, then 17 = 2(UV)
f. If 14 + 20 = r, then r > 14 and r > 20.
g. If mF  mG , then  2(mF )  2(mG )
h. If CY< EF and EF<UR, the CY< UR
i. If CD = MN, then 5(CD) = 5(MN)
j. If mP  mQ , then mP  45  mQ  45
A.
Find m arc BC
B.
Find m arc ACB
C.
Find
mATB
D.
Find
mBTC
Use the figure below for #16 – 17. In the figure s//t.
17.
r
A.
List a pair of corresponding angles.
B.
List all angles that are equal in
measure.
C.
If
1
2
4
3
5
s
6
8
m7 =130°, find m3 , m1,
m4 .
7
18.
t
Suppose m3 = 3x + 31 and
m7 = 5(x+1)
A.
Find x
B.
Find m5
In the diagram below WX // MN ,WX // ZY ,WX  XY
W
X
M
19.
N
Z
Y
Choose the correct justification for the conclusion.
a.
b.
c.
d.
e.
f.
______
MN // ZY
______ ZY  XY
______
______
WXY is a right angle
mWMN  mMZY
definition of perpendicular
Corresponding Angles Postulate
Two Perpendiculars Theorem
Transitivity of Parallelism Theorem
Perpendicular to Parallels Theorem
definition of parallel lines
20.
Find the slope of the line containing (3, -5) and (6, 1)
21.
Find the slope of the line with equation 2x + 5y = -20
22.
Use the line in #21,
A.
What is the slope of all lines parallel to 2x + 5y = -20?
B.
23.
What is the slope of all lines perpendicular to 2x + 5y = -20?
Construct a perpendicular bisector to
C
D
CD .