Identifying Congruent Triangles

Front

What is the definition of congruent triangles?

Back

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

Front

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'.

Front

What are the three main criteria for triangle congruence?

Back

The three main criteria are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA).

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

If two triangles are congruent, their corresponding angles are also equal.

Front

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

Back

The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

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

Back

The ASA criterion 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.

Front

What is the significance of the congruence statement ΔABC ≅ ΔDEF?

Back

This statement indicates that triangle ABC is congruent to triangle DEF, meaning all corresponding sides and angles are equal.

Front

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

Back

To determine if two triangles are congruent using the SSS criterion, measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that at least one pair of corresponding sides or angles is not equal.