CPCTC

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is a principle used in geometry to prove that if two triangles are congruent, then their corresponding parts (angles and sides) are also congruent.

Front

If ∆SOK ≅ ∆LMT, what can we conclude about ∠K?

Back

∠K ≅ ∠T. This follows from the CPCTC principle, which states that corresponding angles in congruent triangles are equal.

Front

What is the relationship between congruent triangles?

Back

If two triangles are congruent, it means they have the same size and shape, which implies that all corresponding sides and angles are equal.

Front

How can you prove that two triangles are congruent?

Back

You can prove two triangles are congruent using several methods: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' indicates that two geometric figures, such as triangles, are congruent, meaning they have the same shape and size.

Front

If ∆ABC ≅ ∆DEF, what can we say about the sides of the triangles?

Back

If ∆ABC ≅ ∆DEF, then AB ≅ DE, BC ≅ EF, and AC ≅ DF. This means that the lengths of corresponding sides are equal.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

What is the purpose of using CPCTC in geometric proofs?

Back

CPCTC is used in geometric proofs to establish that corresponding parts of congruent triangles are equal, which helps in proving other properties or relationships in the figures.

Front

If two triangles share a side and two angles, what can be concluded about their congruence?

Back

If two triangles share a side and have two equal angles, they are congruent by the ASA (Angle-Side-Angle) criterion.