Triangle Congruence Flashcard

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 SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangle congruence by showing two sides and the included angle are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangle congruence by showing two angles and a non-included side are equal.

Front

What is the criteria for triangle congruence by SSS?

Back

Side-Side-Side; triangles are congruent if all three corresponding sides are equal.

Front

What is the criteria for triangle congruence by HL?

Back

Hypotenuse-Leg; a method to prove congruence for right triangles by showing the hypotenuse and one leg are equal.

Front

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

Back

Angle-Side-Angle; triangles are congruent if two angles and the included side are equal.

Front

What is the importance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared; it is crucial for establishing congruence.

Front

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides and the included angle must be equal for congruence by SAS.

Front

What additional information is needed for congruence by SAS?

Back

The lengths of the two sides and the measure of the included angle.

Front

What additional information is needed for congruence by AAS?

Back

The measures of two angles and one non-included side.