Triangle Congruence

Front

What are the five ways to prove triangles congruent?

Back

SSS, ASA, AAS, SAS, HL

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: 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, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

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

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

If two triangles have two sides and the included angle equal, what theorem can be used?

Back

SAS (Side-Angle-Side) theorem.

Front

If two triangles have two angles and a non-included side equal, what theorem can be used?

Back

AAS (Angle-Angle-Side) theorem.

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.