Conditons for Triangle Congruence

Conditions for Triangle

Congruence

What information do I need?

To prove Triangle Similarity:

To prove Triangle Congruence:

Multiple Choice

• AA $$\sim$$

• SAS $$\sim$$

• SSS $$\sim$$

• These triagles are NOT similar.

Multiple Choice

• Yes

• No

How can we prove triangles must be congruent?

● Which of the following conditions assure

congruence?

● Which of the following conditions DO NOT assure

congruence?

Poll

Are the triangles congruent?

• yes

• no

Triangles are congruent. SSS~ and side ratio = 1

Poll

Are the triangles congruent?

• yes

• no

Triangles are congruent. With a2+b2=c2, SSS~ and side
ratio = 1

Poll

Are the triangles congruent?

• yes

• no

Not enough information to prove congruence.
AA~ but NO side ratio of 1

Poll

Are the triangles congruent?

• yes

• no

Triangles are congruent. AA~ and side ratio = 1

Poll

Are the triangles congruent?

• yes

• no

Not enough information to prove congruence.
Cannot prove the triangles are similar.

Poll

Are the triangles congruent?

• yes

• no

Triangles are congruent. AA~ and side ratio = 1

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Select

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent

Multiple Choice

Are the triangles congruent?

• SAS $$\cong$$

• SSS $$\cong$$

• AAS $$\cong$$

• ASA $$\cong$$

• NOT congruent