CPCTC

Front

What does CPCTC stand for?

Back

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

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that 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 SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate states that 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 HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence Theorem states that 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

Can triangles be congruent if they have the same angles but different side lengths?

Back

No, triangles cannot be congruent if they have the same angles but different side lengths. This is known as the AAA (Angle-Angle-Angle) condition, which does not guarantee congruence.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in shape and size, while similarity means that triangles have the same shape but may differ in size.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two triangles are congruent, typically written in the form ΔABC ≅ ΔDEF.

Front

What is the importance of CPCTC in triangle congruence?

Back

CPCTC is used to prove that corresponding parts of congruent triangles are congruent, which is essential in solving problems involving triangle congruence.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the sides and angles?

Back

If ΔABC ≅ ΔDEF, then all corresponding sides and angles of the triangles are congruent.