Determine if Triangles are Congruent

• Vertical Angle Theorem

• Segment Addition Postulate

• Reflexive Property of Congruence

• Perpendicular segment Theorem 

Why is

 $\angle FGE\cong\angle HGI$  ?

• Linear Pair Postulate

• Vertical Angle Theorem

• Third Angle Theorem

• Alternate Interior Angle Theorem

Why is

 $\overline{BC}\ \cong\overline{BC}$  ?

• Vertical Segment Theorem

• Communitive Property of Congruence

• Reflexive Property of Congruence.

• Associative Property of Congruence.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.