Congruent Triangles

Front

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

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles are congruent 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.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the HL theorem?

Back

Hypotenuse-Leg: A method to prove right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; additional information about angles or the third side is needed to confirm congruence.

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

The lengths of the sides adjacent to the angles must be known.

Front

What additional information is needed to prove triangles are congruent by SSS?

Back

The lengths of all three sides of both triangles must be known.

Front

What is the significance of the included angle in SAS?

Back

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