Exploring CPCTC Concepts

What does CPCTC stand for?

• Congruent Triangles of Corresponding Parts are Congruent

• Corresponding Triangles of Congruent Parts are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

What must you prove first before using CPCTC?

• That the triangles are similar

• That the triangles are congruent

• That the angles are equal

• That the sides are proportional

What is the purpose of CPCTC in a proof?

• To prove triangles are similar

• To prove additional sides and angles are congruent

• To prove angles are equal

• To prove sides are proportional

In the example problem, what does PR bisect?

• Angle QPR and angle QSR

• Angle PQR and angle PRS

• Angle QPS and angle QRS

• Angle QRP and angle SRP

What is the first step in the example problem?

• Apply the reflexive property

• Identify the corresponding parts

• Use the given information

• Prove that PQ is congruent to PS

What does it mean when PR bisects angle QPS?

• Angle QPS is congruent to angle QRS

• Angle QPR is congruent to angle SPR

• Angle QRP is congruent to angle SRP

• Angle PQR is congruent to angle PRS

Which property is used to state that PR is congruent to PR?

• Symmetric Property

• Substitution Property

• Reflexive Property

• Transitive Property

What is the method used to prove the triangles congruent in the example?

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Angle-Side

What does CPCTC allow you to conclude about PQ and PS?

• They are similar

• They are equal

• They are proportional

• They are congruent

When is CPCTC used in a proof?

• After using the reflexive property

• Before proving triangles are congruent

• Before identifying corresponding parts

• After proving triangles are congruent