Triangle congruence proofs

Front

What is the Hypotenuse-Leg (HL) theorem in triangle congruence?

Back

The HL theorem states that if a 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 must be stated before using the HL theorem in a proof?

Back

It must be stated that there are right triangles.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What does it mean for a line segment to bisect an angle?

Back

To bisect an angle means to divide it into two equal angles.

Front

If AD bisects angle EDI, what can be concluded about angles ADE and IDA?

Back

Angles ADE and IDA are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

The SAS criterion 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 ASA (Angle-Side-Angle) congruence criterion?

Back

The ASA criterion 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 two triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) congruence criterion?

Back

The AAS criterion 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 two triangles are congruent.