CPCTC

Front

What does CPCTC stand for in geometry?

Back

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

Front

What is the SSS postulate?

Back

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

Front

What is the SAS postulate?

Back

The SAS (Side-Angle-Side) 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 two triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

To prove two triangles are congruent using the SSS postulate, you must show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove that two triangles are congruent using the SAS postulate?

Back

To prove two triangles are congruent using the SAS postulate, you must show that two sides and the angle between them in one triangle are congruent to the corresponding two sides and angle in the other triangle.

Front

What is the importance of CPCTC in triangle congruence?

Back

CPCTC is used to conclude that corresponding parts of congruent triangles are also congruent, which is essential for solving problems involving triangle properties.

Front

What is the difference between SSS and SAS postulates?

Back

SSS requires all three sides to be congruent, while SAS requires two sides and the included angle to be congruent.

Front

Can two triangles be congruent if only one side is known to be congruent?

Back

No, at least two sides and the included angle (SAS) or all three sides (SSS) must be known to prove triangle congruence.

Front

What is an example of using the Reflexive Property in triangle congruence?

Back

In triangle congruence proofs, if two triangles share a side, that side can be used as a congruent part by the Reflexive Property.