Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

Define SSS Congruence Criterion.

Back

SSS (Side-Side-Side) Congruence Criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

Define SAS Congruence Criterion.

Back

SAS (Side-Angle-Side) Congruence Criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the AAS Congruence Criterion?

Back

AAS (Angle-Angle-Side) Congruence Criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL Congruence Criterion?

Back

HL (Hypotenuse-Leg) Congruence Criterion applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What are corresponding angles in triangle congruence?

Back

Corresponding angles are angles that are in the same relative position in two different triangles that are congruent.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. If the lines are parallel, these angles are equal.

Front

If ΔDEF ≅ ΔRST, what can we conclude about the sides?

Back

If ΔDEF ≅ ΔRST, then the corresponding sides are equal: DE = RS, EF = ST, and DF = RT.