Triangle Congruence Quiz

Using SSS, SAS, ASA, AAS: Which of the following sets of information is sufficient to prove that two triangles are congruent?

• HL

• AAA

• SSA

• Any of the above methods (SSS, SAS, ASA, AAS)

Using SSS, SAS, ASA, AAS: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, which congruence theorem can be used to prove the triangles congruent?

• SSS

• SSA

• ASA

• AAS

Using SSS, SAS, ASA, AAS: In triangle ABC and triangle DEF, if AB = DE, BC = EF, and angle A = angle D, which congruence theorem can be used to prove the triangles congruent?

• SSS

• AAA

• ASA

• SAS

Identifying congruent triangles: In the given figure, if triangle ABC is congruent to triangle DEF, which pair of corresponding sides are congruent?

• AB and DE

• AB and EF

• BC and EF

• AC and DF

Identifying congruent triangles: If two triangles have the same three side lengths, can it be concluded that the triangles are congruent?

• Not sure

• Yes

• Maybe

• No

Identifying congruent triangles: In triangle PQR and triangle XYZ, if angle P = angle X, angle Q = angle Y, and angle R = angle Z, can it be concluded that the triangles are congruent?

• Maybe

• No

• Yes

• Only if the sides are equal

Applying triangle congruence theorems: In triangle MNO and triangle PQR, if angle M = angle P, angle N = angle Q, and angle O = angle R, which congruence theorem can be used to prove the triangles congruent?

• Angle-Angle-Side (AAS) congruence theorem

• Side-Angle-Side (SAS) congruence theorem

• Angle-Side-Angle (ASA) congruence theorem

• Side-Side-Side (SSS) congruence theorem

Applying triangle congruence theorems: In triangle ABC and triangle DEF, if AB = DE, BC = EF, and AC = DF, which congruence theorem can be used to prove the triangles congruent?

• AAA Congruence Theorem

• SAS Congruence Theorem

• AAS Congruence Theorem

• SSS Congruence Theorem

Solving problems using triangle congruence: In triangle LMN and triangle XYZ, if angle L = angle X, angle M = angle Y, and LM = XY, find the measure of angle N.

• Angle N = Angle Z

• Angle N = Angle L

• Angle N = Angle Y

• Angle N = Angle X

Solving problems using triangle congruence: In triangle PQR and triangle STU, if angle P = angle S, angle Q = angle T, and PR = SU, find the measure of angle R.

• The measure of angle R is equal to the measure of angle U.

• The measure of angle R is equal to the measure of angle S.

• The measure of angle R is equal to the measure of angle Q.

• The measure of angle R is equal to the measure of angle P.