Triangle Congruence Flashcard

Front

What is the definition of congruent triangles?

Back

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

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, then 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, then the triangles are congruent.

Front

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

Back

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

Front

What is 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, then the triangles are congruent.

Front

What does it mean for angles to be corresponding?

Back

Corresponding angles are angles that are in the same relative position in two different triangles.

Front

What does it mean for sides to be corresponding?

Back

Corresponding sides are sides that are in the same relative position in two different triangles.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

Measure two angles and the included side of both triangles; if they are equal, the triangles are congruent.

Front

What is a congruence statement?

Back

A statement that shows two triangles are congruent, indicating which vertices correspond to each other, e.g., Triangle ABC ≅ Triangle DEF.