Triangle Congruence Proofs Including CPCTC

Front

What does CPCTC stand for in triangle congruence?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent'. It is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the SAS congruence criterion?

Back

SAS stands for 'Side-Angle-Side'. It 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 SSS congruence criterion?

Back

SSS stands for 'Side-Side-Side'. It states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the ASA congruence criterion?

Back

ASA stands for 'Angle-Side-Angle'. It 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 congruence criterion?

Back

AAS stands for 'Angle-Angle-Side'. It states that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. Congruent figures can be superimposed on each other.

Front

What is the significance of the statement '⊿GHI ≅ ⊿JKL'?

Back

This statement indicates that triangle GHI is congruent to triangle JKL, meaning all corresponding sides and angles are equal.

Front

How do you prove triangles are congruent using CPCTC?

Back

To prove triangles are congruent using CPCTC, first establish that the triangles are congruent using one of the congruence criteria (SAS, SSS, ASA, AAS). Then, use CPCTC to show that corresponding parts are equal.

Front

What is the role of 'Given' in triangle proofs?

Back

'Given' refers to the information provided in a problem that is assumed to be true and is used as a starting point for the proof.

Front

What does it mean when two angles are marked as congruent?

Back

When two angles are marked as congruent, it means they have the same measure, indicating that they are equal in size.