CPCTC in Proofs

CPCTC stands for

• congruent parts of congruent triangles correspond

• corresponding parts of congruent triangles are congruent

• congruent parts of corresponding triangles are congruent

• corresponding triangles have corresponding congruent parts

In a proof, we must first _______________________ before we can use CPCTC.

• make sure angles correspond

• color code corresponding parts

• fill all the reasons

• prove two triangles are congruent

We are able to prove the two triangles in the image are congruent by AAS. Which of the congruence statements below is only possible AFTER we prove the triangles are congruent?

• $\overline{GH}\cong\overline{HG}$

• $\angle FGH\cong\angle EHG$

• $\angle EGH\cong\angle FHG$

• $\overline{GF}\cong\overline{HE}$

• CPCTC

• Reflexive Property

• definition of isosceles triangle

• all right angles are congruent

Fill in the Reason#6.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Tags

CCSS.HSG.CO.C.11

You should use CPCTC ______

• before you prove triangles congruent
• to prove two triangles congruent
• after proving triangles congruent to get the corresponding parts congruent
• never use CPCTC it is not a thing

Determine the correct response for #5 in the proof.

• All right angles are congruent

• Reflexive Property

• Triangle HEF is congruent to Triangle GFE

• Corresponding Parts of Congruent Triangles are Congruent

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5