Applying congruency and/or similarity to solve problems

What is statement #1?

• BC≅DC
• AC≅EC
• BC≅DC, AC≅EC
• ∆BCA≅∆DCE

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• Yes, AAS

• No, not enough information provided

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• Not enough information

• HL

• SAS

For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove triangle BAC congruent to triangle DEC?

• SSS

• ASA

• SAS

• HL

What is reason 4?

• 
• 
• 
• 

Name the reason, if possible, that makes the triangles congruent.

• SAS

• SSS

• Not congruent

Is the triangle congruent? If so, which congruence postulate proves it.

• SSS

• SAS

• Not Congruent

• ASA

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

• No, they are not congruent

• Yes, SAS

• Yes, SSS

• Yes, ASA

• Yes, AAS

Which theorem is used in the following example?
AB = 12 cm
BC = 10 cm
CA = 8 cm

• SSS
• SAS
• ASA
• AAS