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Unit 1 Review: Geometry Basics

Total questions: 48

Worksheet time: 12hrs 0mins

Name
Class
Date
1.

Are the points shown collinear?

a)

Yes

b)

No

2.

Are the points shown coplanar?

a)

Yes

b)

No

3.

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

4.

Are the points D, G, and F coplanar?

a)

Yes

b)

No

5.
This represents a ...
a)
Plane
b)
piece of paper
c)
line
d)
I don't know
6.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
7.

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

a)
Point
b)
Plane
c)
Angle
d)
Line
8.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
9.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
10.
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.
11.

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

12.

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

a)

line segment

b)

ray

c)

angle

d)

plane

13.

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

14.

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

a)

13

b)

16

c)

12

d)

15

15.

If m∠ABC = 103° find x.

(a)  

16.

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

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

17.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

18.
a)

50°

b)

58°

c)

115°

d)

226°

19.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
20.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
21.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
22.
A single angle that measures between 90 and 180 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Linear Pair
23.
A single angle that measures between 0 and 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Adjacent Angles
24.
A single angle that measures exactly 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Supplementary Angles
25.
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.
26.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
27.

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

a)
b)
c)
d)
28.

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}

29.

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

30.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

31.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
32.
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)
33.

A single angle that measures exactly 180 degrees.

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

Straight Angle

34.

Vertical angles are always

a)

90 degrees

b)

180 degrees

c)

congruent

d)

adjacent

35.

Name the angle relationship shown.

a)

Adjacent

b)

Vertical

c)

Complementary

d)

Supplementary

e)

No relationship

36.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
37.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
38.

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

39.

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

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.

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

43.

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

44.

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

45.

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

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)

Congruent Angles

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)

Congruent Angles

48.

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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