Triangle Congruence Theorem

Front

What is the SSS (Side-Side-Side) Congruence Theorem?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Theorem?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Theorem?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

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, then the triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What are the five ways to prove triangles congruent?

Back

SSS, SAS, ASA, AAS, HL.

Front

Can SSA (Side-Side-Angle) be used to prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence.

Front

If two triangles have two sides of equal length and the angle opposite one of those sides is equal, are the triangles congruent?

Back

Yes, use the SAS theorem.

Front

If two triangles have two angles of equal measure and the side between them is equal, are the triangles congruent?

Back

Yes, use the ASA theorem.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.