Triangle Congruence

Which congruence theorem states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent?

• Side-Side-Side (SSS) congruence theorem

• Angle-Side-Angle (ASA) congruence theorem

• Side-Angle-Side (SAS) congruence theorem

• Angle-Angle-Side (AAS) congruence theorem

Which congruence theorem states that if two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent?

• SSS

• SAS

• AAA

• ASA

Which congruence theorem states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent?

• SSS

• SAS

• AAS

• ASA

In an SSS triangle congruence, if triangle ABC is congruent to triangle DEF, which of the following statements is true?

• All corresponding sides and angles of the triangles are equal.

• The corresponding sides of the triangles are equal, but the corresponding angles may not be equal.

• The corresponding angles of the triangles are equal, but the corresponding sides may not be equal.

• The corresponding sides and angles of the triangles are equal, but the triangles may not be congruent.

In an ASA triangle congruence, if angle A is congruent to angle D and angle B is congruent to angle E, which of the following statements is true?

• Angle D is congruent to angle E.

• Angle A is congruent to angle B.

• The corresponding side AC is congruent to DE.

• The corresponding side AB is congruent to DE.

In an SAS triangle congruence, if side AB is congruent to side DE, side AC is congruent to side DF, and angle A is congruent to angle D, which of the following statements is true?

• The triangles are right triangles.

• The triangles are similar.

• The triangles are not congruent.

• The triangles are congruent.

If triangle ABC is congruent to triangle DEF by SSS congruence, which of the following pairs of corresponding sides are congruent?

• AB and DE, BC and EF, AC and DE

• AB and DE, BC and EF, AC and EF

• AB and DE, BC and EF, AC and DF

• AB and DE, BC and EF, AC and DF

If triangle ABC is congruent to triangle DEF by ASA congruence, which of the following pairs of corresponding angles are congruent?

• angle A and angle E

• angle A and angle D

• angle B and angle F

• angle A and angle E

If triangle ABC is congruent to triangle DEF by SAS congruence, which of the following pairs of corresponding angles are congruent?

• Angle A to Angle D

• Angle A to Angle F

• Angle B to Angle F

• Angle A to Angle E

If triangle ABC is congruent to triangle DEF by SAS congruence, which of the following pairs of corresponding sides are congruent? Select all.

• AB and DE

• AB and DF

• BC and EF

• AC and DF