Proving Triangles Congruent

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

A method to prove the congruence of right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the importance of marked congruent angles and sides in triangle proofs?

Back

Marked congruent angles and sides provide the necessary information to apply congruence theorems and prove triangles are congruent.

Front

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

Back

By measuring all three sides of both triangles and confirming that they are equal.

Front

What is the significance of the included angle in the SAS theorem?

Back

The included angle is the angle formed between the two sides being compared; it must be equal for the triangles to be congruent.

Front

Can two triangles be proven congruent if only one angle and one side are marked congruent?

Back

No, at least two sides and the included angle or two angles and the included side must be marked congruent.