Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What does the Third Angles Theorem state?

Back

The Third Angles Theorem states that if two angles of one triangle are equal to two angles of another triangle, then the third angles are also equal.

Front

How do you use the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the SSS congruence criterion?

Back

The SSS (Side-Side-Side) congruence criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

The SAS (Side-Angle-Side) congruence criterion states that 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 congruence criterion?

Back

The ASA (Angle-Side-Angle) congruence criterion states that 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 congruence criterion?

Back

The AAS (Angle-Angle-Side) congruence criterion states that 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 congruence criterion?

Back

The HL (Hypotenuse-Leg) congruence criterion applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the fact that the sum of the interior angles of a triangle is always 180 degrees.