Proving Triangles Congruent by HL

Proving Triangles Congruence

SSS. SAS, ASA, AAS. and HL

Postulates and Theorems

• SSS - Side, Side, Side

• SAS - Side, Angle, Side

• ASA - Angle, Side, Angle

• AAS - Angle, Angle, Side

• HL - Hypotenuse Leg

SSS Theorem/Postulates

Are these two triangles congruent?

Why or why not?

SSS

Are these two triangles congruent?

Why or why not?

SAS

Are these two triangles congruent?

Why or why not?

SAS

Are these two triangles congruent?

Why or why not?

Multiple Choice

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

• SSS
• SAS
• ASA
• Not Possible

Multiple Choice

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

• SSS

• SAS

• ASA

• Not Possible

Multiple Choice

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

• SSS
• ASA
• AAS
• Not Possible

Multiple Choice

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

• SSS
• SAS
• ASA
• Not Possible

Multiple Choice

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

• SSS

• SAS

• ASA

• Not Possible

Multiple Choice

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

• SSS
• SAS
• ASA
• Not Possible

ASA & AAS

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• SAS
• ASA
• AAS
• Not Possible

Multiple Choice

ΔTVS ≅ Δ_____ by _____

• ΔTVU , ASA

• ΔVTU , ASA

• ΔTVU , SAS

• Cannot Be Determined

Multiple Choice

ΔQTR ≅ Δ_____ by _____

• ΔSTR , ASA

• ΔSTR , AAS

• ΔSRT , AAS

• Cannot Be Determined

Multiple Choice

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

• Congruent by HL
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

ASA and HL

Multiple Choice

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

• SAS

• HL

• ASA

• N/A

Multiple Choice

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

• AAS

• HL

• SSS

• N/A

Multiple Choice

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

• SAS

• N/A

• ASA

• SSS

More Practice

Multiple Choice

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

• Not Enough Information
• HL
• SAS
• SSA

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• HL

Multiple Choice

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

• HL
• SAS
• ASA
• AAS

Multiple Choice

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

• SSS
• SAS
• ASA
• HL

Multiple Choice

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

• SSS
• SAS
• ASA
• AAS

Multiple Choice

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

• RHS

• AAS

• ASA

• Not Enough Information

Multiple Choice

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

• RHS

• AAS

• ASA

• Not Enough Information

Multiple Choice

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

• ASA
• AAS
• SSA
• Not Enough Information