Practice Triangle Congruence Theorems

Front

What does the HL theorem state about triangle congruence?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is required to prove triangles are congruent using the AAS theorem?

Back

To prove triangles are congruent using the AAS (Angle-Angle-Side) theorem, two angles and the non-included side of one triangle must be congruent to the corresponding two angles and the non-included side of another triangle.

Front

What does the SAS theorem state about triangle congruence?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the AAS theorem?

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

How can you name a triangle congruent to triangle XYZ?

Back

A triangle congruent to triangle XYZ can be named triangle XWZ, where the corresponding vertices match in order.

Front

What does the SSS theorem state about triangle congruence?

Back

The SSS (Side-Side-Side) theorem states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the ASA theorem?

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various geometric proofs and constructions.

Front

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

Back

To prove triangles are congruent by AAS, you need two angles and the length of one side of one triangle to be congruent to the corresponding angles and side of the other triangle.

Front

What is the difference between ASA and AAS?

Back

The ASA theorem requires two angles and the included side to be congruent, while the AAS theorem requires two angles and a non-included side to be congruent.