Triangle Congruence Challenge

Which pairs of triangles are congruent based on SSS?

• Triangles with sides (3, 4, 5) and (3, 4, 5) are congruent.

• Triangles with sides (2, 2, 3) and (2, 3, 3) are congruent.

• Triangles with sides (3, 4, 6) and (3, 4, 5) are congruent.

• Triangles with sides (5, 12, 13) and (3, 4, 5) are congruent.

Given two triangles with two sides and the included angle equal, what congruence rule applies?

• Side-Angle-Side (SAS) congruence criterion

• Side-Side-Side (SSS) congruence criterion

• Angle-Side-Angle (ASA) congruence criterion

• Angle-Angle (AA) similarity criterion

If two angles and a side are known, how can you prove the triangles are congruent?

• Apply the Angle-Side-Angle (ASA) theorem.

• Use the Hypotenuse-Leg (HL) theorem.

• Use the Side-Side-Angle (SSA) theorem.

• Use the Angle-Angle-Side (AAS) theorem.

Identify the congruence rule used when two angles and a non-included side are given.

• Side-Angle-Side (SAS) congruence criterion

• Angle-Side-Angle (ASA) congruence criterion

• Angle-Angle-Side (AAS) congruence criterion

• Angle-Angle (AA) similarity criterion

How do you determine if triangles are congruent using the AAS method?

• Triangles are congruent if one angle and two sides of one triangle are equal to the corresponding parts of another triangle.

• Triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

• Triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

• Triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.