Free Printable Geometry - Angle Bisector Problems

1.

If $\angle PRQ$ is congruent to $\angle QRS$ , find x.

a)

$x\ =\ 32$

b)

$x\ =\ 30$

c)

$x\ =\ 44$

d)

$x\ =\ 49.3$

2.

If the $m\angle LKJ\$ is $88\degree$ , what is the $m\angle LKM$ ?

a)

$88\degree$

b)

$176\degree$

c)

$44\degree$

d)

Cannot be determined

3.

Solve for x if the $m\angle TIY$ is $121\degree.$ Round your answer to the nearest hundredths.

a)

8.14

b)

8.2

c)

11.4

d)

22

4.

Name the angle bisector.

a)

$\overrightarrow{BC}$

b)

$\overrightarrow{CQ}$

c)

$\overrightarrow{AC}$

d)

$\overrightarrow{QC}$

5.

$If\ m\angle CBD\ =\ 65\degree,\$ name the angle bisector.

a)

$\overrightarrow{BD}$

b)

$\overrightarrow{BC}$

c)

$D$

d)

$\overrightarrow{DB}$

6.

Name the plane in two different ways.

a)

$Plane\ P\$ and $Plane\ \overline{BC}$

b)

$Plane\ A\$ and $Plane\ P$

c)

$Plane\ P$ and $Plane\ ABC$

d)

$Plane\ P$ and $\overline{ABC}$

7.

Use the protractor to give the correct measure of the angle drawn.

a)

$160\degree$

b)

$70\degree$

c)

$90\degree$

d)

$150\degree$

8.

$If\ M\ is\ the\ midpoint\ of\ \overline{AB\ }$ and $\overline{AM\ }$ $=2x\ +\ 4$ and $\overline{AB}$ $=12.\$ Find x.

a)

x = 1

b)

x = 4

c)

x = 12

d)

x = 8

9.

What do the red arcs in the angles indicate?

a)

the angles are not congruent

b)

the angles are congruent

c)

the rays are congruent

d)

they lie in the same plane

10.

Acute angle - an angle that is ______ a 90 degree angle.

a)

more than

b)

less than

c)

equal to

d)

none of the above

11.

Obtuse angle - an angle that is _______ a 90 degree angle.

a)

more than

b)

less than

c)

equal to

d)

none of the above

12.

Which could be the measurement of an acute angle?

a)

0

b)

35

c)

180

d)

90

13.

What is a "Straight" Angle?

a)

Angle that measures 180

b)

An Angle that measures 90

c)

An angle that measures more than 90

d)

An angle that measures less than 90

14.

Solve

a)

134°

b)

78°

c)

180°

d)

178°

15.

What is this tool called and what is it used for?

a)

A ruler used to measure lines.

b)

A protractor used to measure lines.

c)

A ruler used to measure angles.

d)

A protractor used to measure angles.

16.

_{What is the measure of the following angle?}

a)

124 degrees.

b)

180 degrees.

c)

142 degrees.

d)

97 degrees.

17.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

18.

^{_{What is the measure of the following angle?}}

a)

120 degrees.

b)

171 degrees.

c)

60 degres.

d)

10 degrees.

19.

Congruent means:

a)

angles that are opposite from each other

b)

angles that are less than 90^o

c)

angles that add up to 180^o

d)

angles that have the same measurement

20.

The point where 2 rays meet is called the....

a)

right angle

b)

acute angle

c)

vertex

d)

congruent

21.

.
.
.
What is the name of this ray?

a)

Ray AB

b)

Ray BA

c)

Ray ABC

d)

Ray AC

22.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

23.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

24.

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

25.

What equation would you use to find the value of x? (Assume $\angle ACB$ is a straight angle.)

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

26.

Find the distance between A (-2, -1) and B (2, 3). Leave your answer in simplest radical form.

a)

$\sqrt{128}$

b)

$8\sqrt{2}$

c)

$4\sqrt{2}$

d)

11.31

Geometry - Angle Bisector Problems

Total questions: 26

Worksheet time: 53mins

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