Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

What does the Side-Angle-Side (SAS) congruence criterion state?

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 does the Angle-Side-Angle (ASA) congruence criterion state?

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 does the Side-Side-Side (SSS) congruence criterion state?

Back

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

Front

What does the Angle-Angle (AA) similarity criterion imply about triangles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Front

How can you determine if two triangles are congruent using corresponding parts?

Back

By checking if all corresponding sides and angles are equal.

Front

What is a congruence statement?

Back

A statement that indicates that two geometric figures are congruent, typically written in the form of triangle names, such as ΔABC ≅ ΔDEF.

Front

What is the importance of corresponding angles in congruent triangles?

Back

Corresponding angles are equal in congruent triangles, which helps in proving their congruence.

Front

What is the importance of corresponding sides in congruent triangles?

Back

Corresponding sides are equal in congruent triangles, which is essential for establishing congruence.