Triangle Congruences

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA), 4) Angle-Angle-Side (AAS), and 5) Hypotenuse-Leg (HL) for right triangles.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, check if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the SAS criterion for triangle congruence?

Back

The SAS 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

Explain the ASA criterion for triangle congruence.

Back

The ASA 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 criterion for triangle congruence?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

Define the HL criterion for triangle congruence.

Back

The HL 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 can 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 triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the triangle sum theorem?

Back

The triangle sum theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the relationship between corresponding angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.