Free Printable Angle and Perpendicular Bisector

1.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

2.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

3.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

4.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

5.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

6.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

7.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

8.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

9.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

10.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

11.

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

a)

Point

b)

Plane

c)

Angle

d)

Line

12.

Points that lie on the same plane are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

13.

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.

14.

How many points do you need to make a line?

a)

1

b)

at least 2

c)

3

d)

4

15.

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.

16.

A location in space that is represented by a dot and has no dimensions

a)

Point

b)

Line

c)

Plane

d)

Angle

17.

What is this Symbol called?

a)

Congruent

b)

Equal

c)

Parallel Lines

d)

Angle

18.

What are the arrows pointing to?

a)

Ray

b)

Endpoints

c)

Midpoint

d)

Vertex

19.

Name the Image.

a)

Ray

b)

Point

c)

Line

d)

Line segment

20.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

21.

Find the length indicated.

(a)

22.

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

a)

OP = MP + (MN + NO)

b)

OP = MP + MN + NO

c)

OP = MP - (MN + NO)

d)

OP = MP - MN + NO

23.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + CB = AC

c)

CA + CB = AB

d)

BC + AC = CA

24.

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

25.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

26.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

27.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

28.

Solve for x.

a)

9

b)

7

c)

10

d)

8

29.

$\overrightarrow{BD}$ bisects $\angle CBA$

Find the $m\angle CBA$

a)

$120\degree$

b)

$65\degree$

c)

$130\degree$

d)

$125\degree$

30.

$\overrightarrow{QS}$ bisects $\angle PQR$

Find the $m\angle PQR$

a)

$104\degree$

b)

$52\degree$

c)

$100\degree$

d)

$152\degree$

31.

$\overrightarrow{AB\ }$ bisects $\angle CAD$ .

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

32.

$\overrightarrow{BD}$ bisects $\angle ABC$

Find the value of x

a)

20

b)

6

c)

10

d)

30

33.

$\overrightarrow{BD}$ bisects $\angle ABC$

Find the value of x.

a)

3

b)

12

c)

7

d)

9

34.

$\overrightarrow{BD}$ bisects $\angle ABC$

Find the value of x

a)

27

b)

41

c)

34

d)

40

35.

Find HG

a)

28

b)

14

c)

41

d)

7

36.

Find PQ

a)

10

b)

3

c)

-2

d)

5

37.

Find AD AND BC

a)

5;12

b)

16;4

c)

12; 16

d)

5;16

38.

Find x, then the measure of AC

a)

x=2, AC=8

b)

x=2, AC=16

c)

x=4, AC=8

d)

x=4, AC=16

39.

Find GH.

a)

4.6

b)

3.6

c)

9.2

d)

7.2

40.

What is the value of x in order to find the length of $\overline{VU}$

a)

2

b)

24

c)

-2

d)

16

41.

What is the measure of $\overline{VU}$

a)

2

b)

4.5

c)

16

d)

9

42.

Identify the perpendicular bisector.

a)

$\overline{TP}$

b)

$\overline{RS}$

c)

$\overline{TR}$

d)

$\overline{ST}$

43.

a)

Parallel

b)

Perpendicular

c)

Intersecting

44.

a)

Parallel

b)

Perpendicular

c)

Intersecting

45.

If lines are parallel with a transversal, then these two angles are?

a)

Opposite Side Angles

b)

Supplementary

c)

Same Side Interior

d)

Vertical Angles

46.

If lines are parallel with a transversal, then these two angles are?

a)

Vertical Angles

b)

Corresponding Angles

c)

Exterior Alternative

d)

Interior Alternative

47.

If lines are parallel with a transversal, then these two angles are?

a)

Corresponding Angles

b)

Exterior Alternate Angles

c)

Interior Alternate Angles

d)

Vertical Angles

48.

What is the supplement to an angle that measures 58 degrees?

a)

58

b)

180

c)

132

d)

122

49.

When lines are parallel with a transversal, what is true about Angle 7 and the given angle measurement?

a)

Angle 7 is congruent.

b)

Angle 7 is supplementary.

c)

Angle 7 is equal to 45 degrees.

d)

Together the sum is 180 degrees.

50.

Given parallel lines with a transversal, what is true about angles 5 and 6?

a)

They are corresponding angles.

b)

They are congruent to the measurement of 68 degrees.

c)

They alternate interior angles.

d)

They are supplementary angles.

51.

If lines are parallel with a transversal, then these two angles are...

a)

Supplementary Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Parallel Angles

52.

Identify the figure in the picture.

a)

Parallel line

b)

Transversal line

c)

Exterior angle

d)

Interior Angle

53.

Which statements are true? Select all that apply.

a)

Vertical angles are congruent.

b)

Corresponding Angles are Supplementary.

c)

Parallel Angles are Congruent.

d)

Alternate Interior Angles are Congruent.

54.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

55.

Name the same-side interior angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

56.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

57.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

Angle and Perpendicular Bisector

Total questions: 57

Worksheet time: 5hrs 30mins

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