Congruent Polygons and Triangle Congruence

Front

What is a congruent polygon?

Back

A congruent polygon is a polygon that has the same shape and size as another polygon, meaning all corresponding sides and angles are equal.

Front

What does it mean for two triangles to be congruent?

Back

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

Front

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

Back

False

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 all three pairs of corresponding angles congruent, then the triangles are congruent.

Back

False

Front

What property states that corresponding angles are congruent in congruent figures?

Back

Corresponding Angles Postulate

Front

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

Back

True

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate 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 (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate 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 (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate 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.