Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about their corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

What is the importance of the order of vertices in congruence?

Back

The order of vertices indicates which angles and sides correspond to each other.

Front

If two triangles are congruent, what can we say about their angles?

Back

Their corresponding angles are equal.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

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 Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Angle-Angle (AA) Congruence Criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.