Triangle Congruence Proofs Challenge

What are the reasons used in triangle congruence proofs?

• SSS, SAS, ASA, AAS, HL

• SSS, SAS, ASA, AAS, CPCTC

• SSS, SAS, ASA, AAS, Reflexive

• SSS, SAS, ASA, HL, CPCTC

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Equal

• Corresponding Parts of Congruent Triangles are Equal

• Corresponding Parts of Congruent Triangles are Congruent

When is CPCTC used in a proof?

• When proving sides are congruent

• Before proving two triangles are congruent

• After proving two triangles are congruent

• When proving angles are congruent

What is the reason for knowing that alternate interior angles are congruent?

• Definition of alternate interior angles

• Alternate interior angles theorem

• Reflexive property

• CPCTC

What property states that a segment is congruent to itself?

• Alternate interior angles theorem

• Definition of congruence

• CPCTC

• Reflexive property

In the proof example, what theorem is used to prove the triangles are congruent?

• AAS theorem

• ASA theorem

• SAS theorem

• SSS theorem

What is the importance of marking drawings in proofs?

• It is not important

• It confuses the solver

• It makes the proof longer

• It helps to visualize the problem

What does the definition of a midpoint state?

• A point that divides a segment into two equal parts

• A point that divides a segment into three equal parts

• A point that is outside the segment

• A point that is at the end of a segment

What postulate states that vertical angles are congruent?

• Reflexive property

• Vertical angles postulate

• CPCTC

• Alternate interior angles theorem

Why are angle D and angle B congruent in the final proof example?

• Because they are vertical angles

• Because they are corresponding parts of congruent triangles

• Because they are alternate interior angles

• Because they are reflexive