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Geometry A
Chapter 1 Review
Chapter 1 Review
Name____________________________Hr.____
You should understand and recognize the definition of the following VOCABULARY words.
Lesson 1.1
A. Point
B. Collinear Points
C. Plane
D. Coplanar
Lesson 1.2
E. Line
F. Line Segment
G. Congruent
Lesson 1.3
H. Distance
I. Midpoint
Lesson 1.4
J.
Ray
K. Angle
L. Acute angle
M. Right angle
N. Obtuse angle
Lesson 1.6
U. Concave
V. Convex
Q. Polygon
X. Regular Polygon
Y. Perimeter
Lesson 1.5
O. Complementary Angles
P. Supplementary Angles
Q. Linear Pair
R. Vertical Angles
S. Adjacent Angles
T. Perpendicular Lines
Lesson 1.7
Z.
Bisector
AA. Angle Bisector
BB. Perpendicular Bisector
Show all work for the following questions.
For Questions 1-4, use the figure at the right.
1.
Name three collinear points. ________________
2.
Name two points in plane P. ________________
3.
Name the intersection of plane P and the plane
that contains points B, C, and D.
A. point B
B. BD
C. BC
D. BCD
4.
Give another name for FE .
5.
Find the length of BC .
__________________________
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Geometry A
Chapter 1 Review
6.
Use the number line to find MN.
7.
Find the distance between M(-2, 3) and N(8, 2). Round to the nearest tenth.
8.
Given A(-4, 7) and S (5, 3), find the coordinates of the midpoint of AS . What quadrant does
the midpoint lie in?
In Questions 9 and 10, you will be dealing with bisectors. You will need to consider the
following: What does it mean for an angle to be bisected? What happens if a segment is
bisected?
9.
Find the length of LM if ON is the bisector of LM
and LN = 3x + 2.
Hint: Label LN first, then think about how
LN and NM must be related if ON bisects LM .
10.
In the figure, BA and BC are opposite rays
and BD bisects EBC . If mEBD = 4x + 16
and mDBC = 6x + 4, find mEBD .
11.
T is between R and S. Find x and RT if RS = 8x – 3, RT = 3x + 5, and TS = 27.
x = _______
RT = ______
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Geometry A
For Questions 12 and 13, refer to the figure at the right.
12.
Chapter 1 Review
a) Measure YZU to the nearest degree.
b) Classify YZU as acute, right, or obtuse.
c) YZU is a linear pair with what angle? ___________
d) Calculate the measure of the angle in 12c.
13.
a) Measure TZV to the nearest degree.
b) Classify TZV as acute, right, or obtuse.
c) TZV is adjacent with what angle? _____________
For Questions 14 and 15, refer the figure at the right.
14.
a) Name the angle pair formed by 1 and 3 . _______________
b) If m1  4x  2 and m3  2x  5 , find x.
1
2
3
4
c) Find m1 ___________. Find m3 ___________
15.
a) Name the angle pair formed by 2 and 3 . _______________
b) If m2  7 x  8 and m3  5x  14 , find x.
1
2
3
4
c) Find m2 _________. Find m3 ___________
3
Geometry A
16.
Suppose QP  QR , mPQS  3x and mSQR  8x  2
a) Find x. __________
b) Find mPQS .
Chapter 1 Review
. .
. .
P
S
__________
Q
c) Find mSQR . __________
R
Q
For Questions 17 and 18, use the figure at the right.
17.
Which describes this figure?
A.
B.
C.
D.
hexagon, concave, not regular
pentagon, concave, regular
hexagon, convex, not regular
not a polygon
18.
What is x for a perimeter of 108 kilometers?
19.
For what value of y is ABC a regular triangle?
20.
Label the angle below AXB .
21.
Construct an ANGLE BISECTOR
and label it XR .
Label the segment below VM .
Construct a PERPENDICULAR
BISECTOR.
.
.
.
.
.
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