Triangle Congruence Statements

Front

What is the definition of triangle congruence?

Back

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

Front

What are the main triangle congruence postulates?

Back

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

Front

If two triangles are congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are congruent, their corresponding sides are equal in length and their corresponding angles are equal in measure.

Front

What does the SSS postulate state?

Back

The SSS postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS postulate state?

Back

The SAS postulate 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 two triangles are congruent.

Front

What does the ASA postulate state?

Back

The ASA postulate 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 two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS postulate 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 two triangles are congruent.

Front

What is the HL theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

How can you determine if two triangles are congruent using corresponding parts?

Back

You can determine if two triangles are congruent by checking if all corresponding sides and angles are equal.

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles in triangle congruence are important because if two triangles are congruent, their corresponding angles must also be equal.