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Unit 1 Review: Geometry Basics

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

Are the points shown collinear?

a)

Yes

b)

No

2.

Are the points shown collinear?

a)

Yes

b)

No

3.

Are the points shown coplanar?

a)

Yes

b)

No

4.

Choose the points that are collinear.

a)

A, B, and C

b)

A, C, and D

c)

A, E, and F

d)

B, C, and D

5.

Are the points D, G, and F coplanar?

a)

Yes

b)

No

6.

Choose the points that are non-coplanar.

a)

D, E, and F

b)

D, H, and F

c)

F, D, and G

d)

G, E, and D

7.
This represents a ...
a)
Plane
b)
piece of paper
c)
line
d)
I don't know
8.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
9.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
10.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
11.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
12.
A plane is named by...
a)
Any 1 point on the plane.
b)

Any 2 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.
13.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

14.

Part of a line that has a beginning, but no end is called a...

a)

line segment

b)

ray

c)

angle

d)

plane

15.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

16.

Suppose AC =  48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

17.

If m∠ABC = 103° find x.

(a)  

18.

Given m∠QST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

19.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

20.
a)

50°

b)

58°

c)

115°

d)

226°

21.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
22.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
23.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
24.
A single angle that measures between 90 and 180 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Linear Pair
25.
A single angle that measures between 0 and 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Adjacent Angles
26.
A single angle that measures exactly 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Supplementary Angles
27.
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.
28.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
29.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
30.

Which of the following formulas is the distance formula?

a)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)

b)

(x2−x1)2+(y2−y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

c)

a2+b2=c2a^2+b^2=c^2

d)

y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

31.

Find the distance between each pair of points.

(-6,-10) and (-2,-10)

a)

d=6

b)

d=4

c)

d=15

d)

d=12

32.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

33.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
34.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
35.

A single angle that measures exactly 180 degrees.

a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)

Straight Angle

36.

Vertical angles are always

a)

90 degrees

b)

180 degrees

c)

congruent

d)

adjacent

37.

Name the angle relationship shown.

a)

Adjacent

b)

Vertical

c)

Complementary

d)

Supplementary

e)

No relationship

38.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
39.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
40.

Select ALL of the following ways to name angles 1 and 2 in the diagram.

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary angles

d)

Supplementary Angles

e)

Linear Pair

41.

Select ALL of the following ways to name angles 1 and 2 in the diagram.

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary angles

d)

Supplementary Angles

e)

Linear Pair

42.

Select ALL of the following ways to name angles 1 and 2 in the diagram.

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary angles

d)

Supplementary Angles

e)

Linear Pair

43.

Select ALL of the following ways to name angles 1 and 2 in the diagram.

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary angles

d)

Supplementary Angles

e)

Linear Pair

44.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Congruent Angles

c)

Perpendicular Bisector of a Segment

d)

Perpendicular through a Point NOT on a LINE

e)

Perpendicular through a Point ON a LINE

45.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Congruent Angles

c)

Perpendicular Bisector of a Segment

d)

Angle Bisector

e)

Perpendicular through a Point ON a LINE

46.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Perpendicular through a Point NOT on a LINE

c)

Perpendicular Bisector of a Segment

d)

Angle Bisector

e)

Perpendicular through a Point ON a LINE

47.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Perpendicular through a Point NOT on a LINE

c)

Perpendicular Bisector of a Segment

d)

Angle Bisector

e)

Perpendicular through a Point ON a LINE

48.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Perpendicular through a Point NOT on a LINE

c)

Perpendicular Bisector of a Segment

d)

Angle Bisector

e)

Congruent Angles

49.

Which construction is shown in the picture?

a)

Line Parallel to a Line through a Point

b)

Perpendicular through a Point NOT on a LINE

c)

Perpendicular Bisector of a Segment

d)

Angle Bisector

e)

Congruent Angles

50.

If bisects ∠PQR, m∠PQS = (7x – 6)°, and m∠SQR = (4x + 15)°, find m∠PQT.

a)

7

b)

137

c)

94

d)

43

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