Triangle Bisectors

Multiple Choice

What does the word BISECT mean?

• To divide into two equal parts.
• To divide into three equal parts.
• To combine two parts into one.
• To separate into multiple sections.

Multiple Choice

What does the word CONGRUENT mean?

• Congruent means different in shape but same in color.
• Congruent refers to a type of mathematical equation.
• Congruent indicates a relationship between time and space.
• Congruent means identical in shape and size.

Draw

Add marks to the figure to show that ray AD is an angle bisector of angle CAB.

Multiple Choice

Which ray is a an angle bisector?

• KL

• KM

• KJ

Multiple Select

Which angles are congruent?

• angle LKM

• angle LKJ

• angle MKJ

Multiple Select

Which segments are angle bisectors?

• EC

• AB

• BD

• AG

• CA

Match

Match the congruent angles.

• $$\angle BAG$$

• $$\angle ACE$$

• $$\angle CBD$$

• $$\angle GAC$$

• $$\angle ECB$$

• $$\angle BDA$$

Math Response

$$\overrightarrow{CE}$$ is an angle bisector of $$\angle C$$ .

What is $$m\angle ECD$$ ?

Type answer here

Correct Answer: 62

Deg^°

Rad

Math Response

$$\overrightarrow{JH}$$ is an angle bisector of $$\angle IJG$$ which is 40°.

What is $$m\angle IJH$$ ?

Type answer here

Correct Answer: 20

Deg^°

Rad

Multiple Choice

The INCENTER is the intersection of which special segments?

• Angle bisectors
• Perpendicular bisectors
• Altitudes
• Medians

Multiple Choice

Which point is equidistant (the same distance) from all the sides of a triangle?

• Orthocenter
• Circumcenter
• Incenter
• Centroid

Multiple Choice

Which point is the INCENTER?

• A

• D

• I

• F

• B

Draw

If point I is the incenter of triangle ABC.

Mark the congruent segments.

Multiple Select

Point D is the incenter of triangle ABC,

which segment is congruent to segment DG?

• ED

• BG

• BE

• DF

• FC

Math Response

Point D is the incenter of triangle ABC,

what is the length of segment DG?

Type answer here

Correct Answer: 1.8

Deg^°

Rad