Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

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

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

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

Back

The SAS 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 is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that 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.

Front

What is the Angle-Angle-Side (AAS) congruence criterion?

Back

The AAS 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 Hypotenuse-Leg (HL) congruence criterion for right triangles?

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, then the triangles are congruent.

Front

How can you determine if two triangles are congruent using corresponding parts?

Back

Two triangles are congruent if all three pairs of corresponding sides and all three pairs of corresponding angles are equal.

Front

What is a congruency statement?

Back

A congruency statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of triangle names with corresponding parts listed.

Front

What does it mean if two angles are congruent?

Back

If two angles are congruent, it means they have the same measure in degrees.

Front

What does it mean if two segments are congruent?

Back

If two segments are congruent, it means they have the same length.