Corresponding parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the angles and sides that are equal in measure when two triangles are congruent.

Front

What does it mean for two triangles to be congruent?

Back

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

Front

If ΔABC ≅ ΔDEF, what can we conclude about ∠A and ∠D?

Back

∠A ≅ ∠D because they are corresponding angles of congruent triangles.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can we say about their areas?

Back

The areas of two congruent triangles are equal.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate 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 (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence 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 triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence 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 triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem 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 (Hypotenuse-Leg) Congruence Theorem?

Back

The HL Congruence 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 triangles are congruent.