Congruent Triangles Flashcard Practice

Front

What is the definition of congruent triangles?

Back

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

Front

What does the ASA criterion for triangle congruence stand for?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does the AAS criterion for triangle congruence stand for?

Back

Angle-Angle-Side: 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, the triangles are congruent.

Front

What does the SAS criterion for triangle congruence stand for?

Back

Side-Angle-Side: 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 relationship between the measures of interior angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

If ∆ABC ≅ ∆LMN, what can be said about the corresponding sides?

Back

The corresponding sides of the triangles are equal in length: AB ≅ LM, BC ≅ MN, AC ≅ LN.

Front

What is the significance of the congruence statement ∆ABC ≅ ∆LMN?

Back

It indicates that triangle ABC is congruent to triangle LMN, meaning all corresponding sides and angles are equal.

Front

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

Back

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

Front

What is the importance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which angles and sides correspond to each other.