Congruency statements

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, meaning they have the same shape and size.

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the corresponding sides?

Back

AB ≅ DE, BC ≅ EF, AC ≅ DF.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

If all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

How do you identify corresponding parts in congruent triangles?

Back

Corresponding parts are matched based on the order of the vertices in the congruence statement.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order indicates which angles and sides correspond to each other.