Identify Triangle Congruence and Properties

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 their corresponding sides and angles are equal.

Front

True or False: If two triangles are congruent, then their corresponding angles and sides are congruent.

Back

True

Front

True or False: If two triangles have two pairs of corresponding sides congruent, then the triangles are congruent.

Back

False, two pairs of sides alone do not guarantee congruence.

Front

True or False: If two triangles have all three pairs of corresponding sides congruent, then the triangles are congruent.

Back

True

Front

True or False: If two triangles have two pairs of corresponding angles congruent, then the triangles are congruent.

Back

False, two pairs of angles do not guarantee congruence.

Front

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding sides?

Back

The corresponding sides of triangle ABC and triangle DEF 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, then the two 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 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 Angle-Angle-Side (AAS) Congruence Theorem?

Back

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.