Congruent Triangles

Front

What are congruent triangles?

Back

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 Postulate?

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 Postulate?

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 Postulate?

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

Is AAA (Angle-Angle-Angle) a valid rule for proving triangles congruent?

Back

No, AAA does not prove triangles are congruent; it only shows that triangles are similar.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving congruence.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

What information is needed to prove triangles congruent using ASA?

Back

Two angles and the included side must be known.