Intro to Congruent Triangles

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means that all corresponding sides and angles are equal.

Front

Back

It means that triangle ABC is congruent to triangle DEF, indicating that their corresponding sides and angles are equal.

Front

What are the criteria for triangle congruence?

Back

The main criteria are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA), 4) Angle-Angle-Side (AAS), and 5) Hypotenuse-Leg (HL) for right triangles.

Front

Back

Front

What does it mean if two angles are congruent?

Back

It means that the angles have the same measure in degrees or radians.

Front

Back

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

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

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

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 is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.