Congruent Triangles Review

Front

What is the definition of congruent triangles?

Back

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

Front

What does the SSS postulate 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 SAS postulate 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 postulate 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 is the definition of the SSA condition?

Back

The Side-Side-Angle condition, which does not guarantee triangle congruence.

Front

What is the Angle-Angle-Angle (AAA) condition?

Back

The condition where three angles of one triangle are equal to three angles of another triangle, which does not prove congruence.

Front

What is the definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another congruent triangle.

Front

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

Back

By measuring and showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

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

Back

By showing that two sides and the angle between them in one triangle are equal to the corresponding parts in another triangle.

Front

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

Back

By demonstrating that two angles and the side between them in one triangle are equal to the corresponding parts in another triangle.