Triangle Congruence Statements

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What are the common triangle congruence statements?

Back

The common triangle congruence statements 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 are congruent, what can be said about their corresponding parts?

Back

If two triangles are congruent, their corresponding parts (sides and angles) are equal.

Front

What is the SSS congruence criterion?

Back

The SSS (Side-Side-Side) congruence criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

The 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 is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) congruence 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 AAS congruence criterion?

Back

The 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

The 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

How do you find the length of a side in congruent triangles?

Back

To find the length of a side in congruent triangles, use the fact that corresponding sides are equal. If you know the length of one side, you can find the corresponding side in the other triangle.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.