Congruent Triangles (CPCTC)

Front

What does CPCTC stand for?

Back

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

Front

If ∆PIG ≅ ∆COW, what can we conclude about the corresponding sides and angles?

Back

If ∆PIG ≅ ∆COW, then the corresponding sides and angles are equal: PI ≅ CO, IG ≅ OW, PG ≅ CW, and ∠P ≅ ∠C, ∠I ≅ ∠O, ∠G ≅ ∠W.

Front

What is the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If ∆ABC ≅ ∆XYZ, what can we say about side AB?

Back

If ∆ABC ≅ ∆XYZ, then AB ≅ XY.

Front

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

Back

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

Front

If two triangles are congruent, what can we say about their areas?

Back

If two triangles are congruent, their areas are equal.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

If ∆DEF is congruent to ∆ABC, what can we conclude about angle D?

Back

If ∆DEF ≅ ∆ABC, then ∠D ≅ ∠A.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, check if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What does it mean for triangles to be 'not congruent'?

Back

Triangles are 'not congruent' if they do not have the same shape and size, meaning their corresponding sides and angles are not equal.