Review 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 does the SAS theorem state?

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 does the ASA theorem state?

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 does the AAS theorem state?

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 does the SSS theorem state?

Back

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

Front

What does the HL theorem state?

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

How can you determine if two triangles are congruent?

Back

By using congruence theorems such as SAS, ASA, AAS, SSS, or HL.

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, typically written in the form of triangle names, e.g., Triangle ABC ≅ Triangle DEF.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS theorem.

Front

If two triangles have one pair of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS theorem.