Perpendicular Bisector Theorem and Angle Bisector Theorem Triangle Congruence SAS SSS ASA AAS

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

How are these two triangles congruent?

• AAS

• ASA

• Not enough information

• SAS

If AD bisects <EDI, then

• <ADE=<IDA

• IA=AE

• ID=ED

• All of the above

What is the reason for statement #2.

• Definition of midpoint

• Definition of congruent

• Definition of angle bisector

• Definition of segment bisector

• A

• B

• C

• D

If AD bisects <EDI, then (a)  

• <ADE=<IDA

• IA=AE

• ID=ED

• All of the above

• All of the above

Answer explanation

Since the ANGLE is getting bisected, that means the ANGLE is getting cut into two equal parts.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• AAA

• AAS

• ASA

• Not necessarily congruent