CPCTC Congruent Triangles

• ∠N

• ∠D

• ∠E

• ∠A

Use the congruency statement to answer the following:  by CPCTC ∠F = ___

• ∠H

• ∠I

• ∠G

• not congruent to another angle

if ∆ABC≅∆XYZ, then by CPCTC which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Explain the concept of CPCTC in the context of proving triangles congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are sometimes congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are not congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are only congruent if the triangles are isosceles.

Given the two triangles, which statement is true by CPCTC?

What does CPCTC stand for?

• Congruent parts of congruent triangles are congruent

• Corresponding parts of congruent triangles are congruent

• Corresponding parts of corresponding triangles are corresponding

• Corresponding parts of congruent triangles are Canadian.

What does CPCTC stand for in congruent triangles?

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

• Similar Parts of Congruent Triangles are Congruent

• Corresponding Parts of Similar Triangles are Congruent

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = AZ

• ∠B ≅ ∠Y

• ∠X ≅ ∠C

• AC = XC

If ∆ CMD ≌∆ RWY, what must be true?

• m<C = m<Y

• m<D = m<R

• CD=RY

• MD=RW