Triangle Congruence CPCTC

Front

What does CPCTC stand for in triangle congruence?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the sides AB and DE?

Back

AB ≅ DE.

Front

What is the first step in proving triangle congruence?

Back

Identify the criteria for triangle congruence: SSS, SAS, ASA, AAS, or HL.

Front

What does the SSS criterion state?

Back

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

Front

What does the SAS criterion state?

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 does the ASA criterion state?

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 does the AAS criterion state?

Back

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

Front

What does the HL criterion state?

Back

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

Front

If ∆XYZ ≅ ∆KLM, what can we say about ∠Y and ∠L?

Back

∠Y ≅ ∠L.

Front

In triangle congruence, what is a corresponding part?

Back

A corresponding part is a side or angle in one triangle that matches a side or angle in another triangle.