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Foundations of Geometry Review

Total questions: 65

Worksheet time: 2hrs 15mins

Name
Class
Date
1.
Part of a line. Has two endpoints and includes all of the points in between.
a)
Point
b)
Angle
c)
Line
d)
Line Segment
2.

An exact location in space with no length or width.

a)

Ray

b)

Point

c)

Line

d)

Line segment

3.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
4.
What is the term for a part of a line with two endpoints?
a)
point
b)
ray
c)
angle
d)
line segment
5.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
6.
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.
7.
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.
8.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
9.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
10.
Find HG.
a)
8
b)
9
c)
10
d)
11
11.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
12.
Find AB
a)
3
b)
4
c)
5
d)
2
13.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

14.

Solve for x.

a)

-3

b)

0

c)

1

d)

3

15.
Find what the value of x.
a)
56
b)
66
c)
156
d)
166
16.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
17.
Find the value of x. 
a)
74
b)
37
c)
52
d)
90
18.
Solve for x
a)
20
b)
25
c)
120
d)
180
19.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

20.

Solve

a)

x = 6

b)

x = 7

c)

x = 12

d)

x = 144

21.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
22.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
23.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
24.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
25.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
26.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
27.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

28.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
29.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
30.
How far is point A from point B?
a)
7.1
b)
7.8
c)
8.7
d)
8.9
31.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
32.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
33.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
34.
Find the value of x. 
a)
13
b)
8.6
c)
5
d)
130
35.
Find the value of x. 
a)
61
b)
40
c)
54
d)
47
36.

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

37.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

38.
1. Find X 
a)
28
b)
5
c)
55
d)
40
39.
1. Find ∠ AOC 
a)
130
b)
50 
c)
40
40.
2. FIND ∠SOR
a)
45
b)
135
c)
90
d)
180
41.
3. Find X
a)
59
b)
31
c)
177
42.
Angle A and C are...
a)
Supplementary
b)
Congruent
43.
Angle Q and B are...
a)
Supplementary
b)
Congruent
44.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
45.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
46.
Angle C and P are...
a)
Supplementary
b)
Congruent
47.
Angle R and C are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
48.
Angle R and C are...
a)
Supplementary
b)
Congruent
49.
Angle S and B are...
a)
Supplementary
b)
Congruent
50.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
51.
Angle P and A are...
a)
Supplementary
b)
Congruent
52.
Angle P and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
53.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
54.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
55.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
56.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
57.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
58.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
59.
What is the value of x?
a)
13
b)
6.2
c)
29.8
60.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
61.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
62.

Find x, then find the measurement of both angles.

a)

x = 30; both angles measure 118 degrees

b)

x = 30; both angles measure 114 degrees

c)

x = 20; both angles measure 112 degrees

d)

x = 20; both angles measure 110 degrees

63.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

64.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

65.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above