Triangle Congruence2

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 main 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

If two triangles have two sides equal and the included angle equal, what can be concluded?

Back

The two triangles are congruent by the SAS (Side-Angle-Side) criterion.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are angles in two triangles that occupy the same relative position. If two triangles are congruent, their corresponding angles are equal.

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides are sides in two triangles that are in the same relative position. If two triangles are congruent, their corresponding sides are equal.

Front

How can you determine if two triangles are congruent using AAS?

Back

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, the triangles are congruent by AAS (Angle-Angle-Side).

Front

What additional information is required for two triangles to be congruent by ASA?

Back

To establish congruence by ASA, you need two angles and the included side of one triangle to be equal to two angles and the included side of another triangle.

Front

What is the Hypotenuse-Leg (HL) criterion?

Back

The HL criterion states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.