Name:
Ms. D’Amato
Date:
Block:
Essentials of Geometry Test Review
Part I: Matching.
A. has no dimension; it is usually represented as a
dot
For questions #1 – 30,
match each term on the left with its
definition on the right.
B. a rule that is accepted without proof
1.
Undefined terms
D. the real number that corresponds to a point on
a line
2.
Collinear points
E. points that lie on the same line
3.
Coplanar points
4.
Defined terms
5.
Line segment
6.
Ray
7.
Opposite rays
8.
Intersection
9.
Postulate/axiom
10.
Coordinate
11.
Distance
C. a point that divides, or bisects, a segment into
two congruent segments
F. the set of points that two or more geometric
figures have in common
G. has two dimensions; it is usually represented
by a shape that looks like a floor or a wall, it
extends without end
H. terms that can be described using known
words
I. points that lie on the same plane
J. part of a line that consists of a point called an
endpoint and all points on the line that extend in
one direction
K. the absolute value of the difference of the
coordinates of the points
L. has one dimension; it is usually represented by
a straight line with two arrowheads to indicate that
it extends without end in two directions
12.
Between
13.
Congruent segments
14.
Midpoint
15.
Segment bisector
N. when three points lie on a line, you can say
that one point is between the other two
16.
Point
O. line segments that have the same length
17.
Line
P. a word that does not have a formal definition,
but there is agreement about what the word means
18.
Plane
M. a point, ray, line, segment, or plane that
intersects a segment at its midpoint
Q. part of a line that consists of two points, called
endpoints, and all points on the line that are in
between
R. rays that have the same endpoint but go in
opposite directions
19.
Complementary Angles
20.
Supplementary Angles
21.
Acute Angle
22.
Obtuse Angle
23.
Right Angle
S. an angle that measures 180°
T. adjacent angles whose sum is 180°
U. an angle measuring between 90° and 180°
V. an angle that measures 90°
W. angles that have a sum of 90°
X. an angle that measure between 0° and 90°
Y. angles that have a sum of 180°
24.
Straight Angle
25.
Linear Pair Angles
26.
⃡
𝐴𝐵
A. line segment AB
27.
𝐴𝐵
B. distance of AB
28.
̅̅̅̅
𝐴𝐵
C. ray AB
29.
𝐴𝐵
D. congruent to
30.
≅
E. line AB
Part II: Identify Points, Line and Planes.
For questions #31 – 34, use the diagram to the right.
31.]
Name the sets of collinear points.
32.]
What is the intersection of line m and line l?
33.]
What is the intersection of plane S and plane R?
34.]
What is another name for plane R? for plane S?
For questions #35 – 42, use the diagram to the right.
35.]
Name the intersection of ⃡𝑃𝑅 and ⃡𝐻𝑅.
36.]
Name the intersection of plane EFG and plane FGS.
37.]
Name the intersection of plane PQS and plane HGS.
38.]
Are points P, Q, and F collinear? Are they coplanar?
39.]
Are points P and G collinear? Are they coplanar?
40.]
Name three planes that intersect at point E.
41.]
Identify, if any, a point that is coplanar with points P, E, and R.
42.]
Identify, if any, three points that are collinear.
Part III: Use Segments and Congruence
43.]
In the diagram of collinear points, GK = 24, HJ = 10 and GH = HI = IJ. Find the indicated
lengths.
G
H
I
J
K
A]
HI =
B]
IJ =
C]
GH =
D]
JK =
E]
IG =
F]
IK =
For questions #44 – 45, find the indicated length.
44.]
Find BC.
45.]
46.]
̅̅̅̅. Use the given information to write an equation in terms of
Point S is between R and T on 𝑅𝑇
x. Solve the equation. Then find RS, ST and RT. Draw a picture!
RS = x – 5
Find RT.
ST = 3x + 2
RT = 6x – 23
Part IV: Use Midpoint and Distance Formulas
For questions #47 – 48, M is the midpoint of the segment. Find the indicated length.
47.]
Find MF.
48.]
Find LN.
For questions #49 – 50, find the coordinates of the midpoint of the segment with the
given endpoints.
49.]
C(-4, 4) and D(7, 2)
50.]
G(7, -6) and H(5, -8)
̅̅̅̅ to find the
For questions #51 – 52, use the given endpoint R and midpoint M of 𝑹𝑺
coordinates of the other endpoint S.
51.]
R(0, 5), M(3, 3)
52.]
R(-1, -3), M(5, 9)
For questions #53 – 54, find the length of the segment with the following points.
53.]
(-2, -4) and (3, 8)
54.]
(-5, 8) and (-10, 14)
For questions #55 – 56, the endpoints of two segments are given. Find each segment
length. Tell whether the segments are congruent.
55.]
̅̅̅̅
𝐴𝐵 : A(1, 1), B(0, 5)
̅̅̅̅: C(1, 1), D(-3, 2)
𝐶𝐷
56.]
̅̅̅
𝐽𝐾 : J(4, 3), K(-1, 6)
̅̅̅̅: L(2, -3), M(-2, 0)
𝐿𝑀
Part V: Measure and Classify Angles
57.]
Given mADC = 118°, find mADB.
58.]
Given mEHG = 77°, find mFHG.
For questions #59 – 61, 𝑩𝑫 bisects ABC. Find mABC.
59.]
61.]
60.]
Careful with this one!
mABC = 15x – 21
mDBC = 6x + 3
Part VI: Describe Angle Pair Relationships
62.]
The measure of one angle is three times the measure of its complement. Find the measure of
each angle. Draw a picture.
63.]
Two angles form a linear pair. The measure of one angle is 15 times the measure of the other
angle. Find the measure of each angle. Draw a picture.
For questions #64 – 68, find the values of x and y. Then find the measure of each angle.
64.]
65.]
66.]
67.]
68.]
69.]
A and B are complementary angles.
Find mA and mB.
mA = (4x – 18)°
mB = (6x – 18)°
70.]
A and B are supplementary angles
Find mA and mB.
mA = (x + 50)°
mB = (x + 100)°