Exploring CPCTC Proofs

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

Tags

CCSS.HSG.SRT.B.5

What is the first step in a CPCTC proof?

• State the given information

• Mark the diagram

• Identify vertical angles

• Prove triangles are congruent

Tags

CCSS.HSG.SRT.B.5

Why is C the midpoint of AE and BD important?

• It helps in identifying congruent angles

• It divides the segments into two congruent parts

• It proves the triangles are similar

• It shows that the triangles are right triangles

Tags

CCSS.8.G.A.2

What property do vertical angles have?

• They are always equal to 90 degrees

• They are always complementary

• They are always congruent

• They are always supplementary

Tags

CCSS.7.G.B.5

Which method is used to prove triangles congruent in the given example?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

Tags

CCSS.HSG.SRT.B.5

What is the final step in a CPCTC proof?

• Mark the diagram

• Identify vertical angles

• Use CPCTC to prove corresponding parts are congruent

• Prove triangles are congruent

Tags

CCSS.HSG.SRT.B.5

What should you do after proving triangles congruent?

• Use CPCTC to prove corresponding parts are congruent

• Identify vertical angles

• Identify the given information

• Mark the diagram

Tags

CCSS.HSG.SRT.B.5

In the practice problem, what does the midpoint of BD tell us?

• Angle B is congruent to angle D

• Angle A is congruent to angle E

• AB is congruent to DE

• BC is congruent to CD

Tags

CCSS.HSG.GPE.B.6

Why are right angles important in the practice problem?

• They help in identifying congruent segments

• They prove the triangles are similar

• All right angles are congruent

• They show that the triangles are right triangles

Tags

CCSS.4.G.A.1

What is the final conclusion in the practice problem?

• Angle B is congruent to angle D

• BC is congruent to CD

• Angle A is congruent to angle E

• AB is congruent to DE

Tags

CCSS.HSG.CO.B.7