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Transcript
Geometry: Chapter 1 Review
Name: ________________________________________
Distance:
Midpoint:
Period: _________
All work and answers should be on notebook paper.
Matching:
__________ Points that lie on the same line
__________ Points that lie on the same plane
__________ AB
A. Acute angle
B. Linear pair
__________ AB
C. Complementary angles
__________ AB
D. Collinear
__________ AB
E. The distance between
point A and point B
__________The point that divides a segment into
two congruent segments
__________ A point, ray, line, line segment or plane
that intersects a segment at its midpoint
F. Midpoint
G. Vertical Angles
H. Line AB
__________ An angle that measures between 0° and 90°
I. Coplanar
__________ An angle that measures between 90° and 180°
J. Supplementary angles
__________ A ray that divides an angle into two
K. Angle bisector
congruent angles
__________ Two angles whose sum is 90°
__________ Two angles whose sum is 180°
__________ Two adjacent angles whose non-common
sides are opposite rays
L. Segment AB
M. Obtuse angle
N. Segment bisector
O. Ray AB
__________ Two angles whose sides form two pairs of
opposite rays
For 1-8, name the object(s) in the diagram.
1. Give two other names for . _________
2. Name three points that are collinear. _______
3.
4.
5.
6.
7.
8.
Give another name for plane P. _________
What is another name for ? _________
Name two pairs of opposite rays. __________
Give another name for . ___________
Name the intersection of line l and . __________
Name the intersection of plane P and line l. __________
9. Draw four points R, S, T, and V on a line so that
same ray.
10. Point B is between A and C on
and
are opposite rays and
12. Find XY.
32
3x
are the
. Find AB and BC if AB = 7x + 2, BC = 2x – 1, AC = 64.
11. Find TV and VW.
T
and
V
71
x+8
W
X
Y
29
Z
13. PS = 46, PR = 18. Find RS.
P
Q
14. M is the midpoint of
15. Point M bisects
R
S
. Find GM.
. If GM = 4x – 9 and MH = 2x + 5, draw a picture and find MH.
16. Find the coordinates of the midpoint of the segment with endpoints G (-6, 7) and H (10, -1). (formula
is at the top of pg 1)
17. Find the coordinates of the other endpoint of a segment with given endpoint and midpoint.
a. Q (2, -3) and midpoint M (-6, -4). (formula is at the top of pg 1)
18. Find the distance, AB, given A(2, 6) and B(0, 3). (formula is at the top of pg 1)
19. Given m
21.
= 123, find m
bisects
22. Given that
. Find m
bisects
.
20 Given m
if m
, find m
= 70, find m
= 3x + 17 and m
and m
if m
.
= 7x – 39.
= 51.
23. Use the diagram below to answer a and b.
a. Name an angle complementary to
b. Name an angle supplementary to
W
X
O
V
Y
Z
24.
and
are complementary angles.
a.
Given the measure of m
b.
, find m
.
25. Find the measure of the numbered angles.
2
154 
1
3
4
85 
59 
5
26. Two angles form a linear pair. The measure of one angle is 4 times the measure of the other angle.
Find the measure of each angle.
27.
and
are supplementary angles. Given the measure of
a.
=97°
, find
.
b.
28. For each angle, give its measure and classify it as acute, right, or obtuse.
Angle
Measure
Classification
D
M
DOM
____29°___
__________
DOG
__________
__________
GOM
__________
_right
29
___
90˚
G
O
Solve the following equations (Algebra 1 Review)
29. 3(10+x)=28
30. -5x+8=128
31. 10(x-3)=4x+10
32. 4x-11=4-x