WorksheetsUnit 1: Basic Geometry Review
Total questions: 50
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
A__________ is a fixed position in space and has no dimensions or size.
a)
Point
b)
Line
c)
Plane
d)
Cube
2.
A ________________ consists of two endpoints.
a)
Point
b)
Line
c)
Line Segment
d)
Plane
3.
A ________ has infinite points; one dimension and extends in opposite directions forever.
a)
Point
b)
Line
c)
Line segment
d)
Plane
4.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
5.
Points that lie on the same plane are ________.
a)
collinear
b)
coplanar
c)
parallel
d)
perpendicular
6.
A _______ consists of an infinite number of points which form a flat surface that extends in all directions forever.
a)
Point
b)
Line
c)
Line segment
d)
Plane
7.
Which term makes the following a true statement?
A __________ is a rule/statement that is accepted to be true and requires no proof.
A __________ is a rule/statement that is accepted to be true and requires no proof.
a)
Both are correct
b)
Axiom
c)
Postulate
d)
Neither are correct
8.
These figures share the same initial point and extend in opposite directions on the same line.
a)
Angles
b)
Opposite Rays
c)
Lines
d)
Line segments
9.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
10.
A plane is named by...
a)
Any 1 point on the plane.
b)
Any 3 collinear points on the plane or a lowercase script letter.
c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
11.
Two distinct non-parallel lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
12.
Two distinct non-parallel planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
13.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
14.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.(Show Work)
a)
8.6
b)
12.1
c)
9.9
d)
13.0
15.
Find the length of RT. (Show work)
a)
14
b)
-1
c)
1
d)
8
16.
Find the distance. (Show work)
a)
7.1
b)
7.8
c)
(6, 4.5)
d)
(2.5, 8)
17.
Find the length of DE. (Show Work)
a)
10
b)
9
c)
8
d)
5
18.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) (Show Work)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
19.
Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9) (Show Work)
a)
(18, -23)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
20.
Find the m∠2
a)
28
b)
152
c)
180
d)
62
21.
Find the value of t. (Show work)
a)
-1
b)
5
c)
5.14
d)
7
22.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
23.
How are these angles related?
a)
Vertrical
b)
Complementary
c)
Adjacent
d)
Supplementary
24.
Show Work
a)
18
b)
19
c)
66
d)
77
25.
Show work
a)
23
b)
20
c)
44
d)
16
26.
Two planes intersect at exactly one point.
a)
Always
b)
Sometimes
c)
Never
27.
Four points like on the same plane.
a)
Always
b)
Sometimes
c)
Never
28.
Three lines intersect at one point.
a)
Always
b)
Sometimes
c)
Never
29.
A plane contains three points.
a)
Always
b)
Sometimes
c)
Never
30.
Two planes that intersect share exactly one point.
a)
Always
b)
Sometimes
c)
Never
31.
A line can be drawn through two points.
a)
Always
b)
Sometimes
c)
Never
32.
a)
F
b)
G
c)
H
d)
I
33.
a)
A
b)
B
c)
C
d)
D
34.
Can we name the Plane CBA? Why or why not?
a)
YES because they are all on the same line.
b)
NO because they are all on the same line.
c)
YES because they are all on the plane.
d)
NO because one of the points is not on the plane.
35.
Given Endpoint A(-3, 1) and midpoint M(1, 0) of segment AB. Find the other endpoint B. (Show work)
a)
(-1, 0.5)
b)
(5, -1)
c)
(-7, 2)
d)
(-2, 0.5)
36.
What is the distance between (-5, 3) and (4, -5). (Show work)
a)
7.94
b)
12.04
c)
(-0.5, -1)
d)
9.22
37.
If S is the MIDPOINT of RT, RS = 5x + 17, and
ST = 8x – 31, find RS. (Show work)
ST = 8x – 31, find RS. (Show work)
a)
97
b)
40.3
c)
4.6
d)
16
38.
If line y bisects AC, AB = 4 – 5x, and BC =
2x + 25, find AC. (Show work)
2x + 25, find AC. (Show work)
a)
-3x + 29
b)
3
c)
38
d)
20
39.
Which diagram shows adjacent angles?
a)
B
b)
C
c)
E
d)
F
40.
Which diagram shows vertical angles?
a)
A
b)
B
c)
D
d)
E
41.
Which diagram shows complementary angles?
a)
B
b)
C
c)
E
d)
F
42.
Which diagram shows complementary angles?
a)
A
b)
B
c)
D
d)
E
43.
Which diagram shows supplementary angles?
a)
B
b)
D
c)
E
d)
F
44.
Which diagram shows a linear pair?
a)
A
b)
B
c)
D
d)
E
45.
Solve for x. (Show work)
a)
-1
b)
28
46.
Solve for x. (Show work)
a)
8.3
b)
3
47.
If KM bisects ∠JKL, m∠JKL = 92°, and
m∠MKL = 5x + 1, find the value of x. (Show work)
m∠MKL = 5x + 1, find the value of x. (Show work)
a)
9
b)
18.2
48.
Baymax's eyes make a...
a)
Line
b)
Line segment
c)
Ray
d)
Angle
49.
Two angles that share a common vertex and side, but have no common interior points
a)
Supplementary angles
b)
Complementary angles
c)
Adjacent angles
d)
Vertical angles
50.
Two angles whose measures have the sum 90°
a)
Complementary angles
b)
Right angle
c)
Supplementary angles
d)
Adjacent angles
100 %
