Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

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 in length.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

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

Back

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

Front

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

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the purpose of using congruent triangles in geometry?

Back

Congruent triangles are used to prove properties of shapes, solve problems, and establish relationships between different geometric figures.

Front

How can you determine if two segments are congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

If Segment AB is congruent to Segment DE, what can we conclude?

Back

The lengths of Segment AB and Segment DE are equal.