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Ricardo Carrillo Geometry. CPCTC sounds like a very difficult thing but it really isn't it is kind of simple the only thing you need to now is that !!!! IT DOESN’T PROOF TRIANGLES ARE CONGRUENT!!!!

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CPCTC sounds like a very difficult thing but it really isn't it is kind of simple the only thing you need to now is that !!!! IT DOESN’T PROOF TRIANGLES ARE CONGRUENT!!!!

CPCTC is an abbreviation for Corresponding Parts of Congruent Triangles are Congruent. What CPCTC does is, it uses triangle that are already proven congruent to proof the parts of the triangle are congruent. You can also use CPCTC as a justification after the proof of triangles. So the only thing CPCTC does is proving parts of a triangle are congruent, remember IT DOESN’T PROOF TRIANGLES are congruent.


To have a better Idea of what I am talking about follow these examples down below

Statement

Reason

Given

Reflex prop of =

SAS

CPCTC

1. AB = DC

<ABC = < DCB

2.BC = CB

3. ABC = DCB

4. <A =<D

Prove <A = <D


Statement these examples down below

Reason

1.EG = DF

EG DF

2. < EGD = < FDG

GD =DG

EGD = FDG

<EDG = <FGD

ED GF

Given

Alt int angles thm

Reflex prop of =

SAS

CPCT

Convers of alt. int.


Statements Reasons these examples down below

Draw X, the midpt. of BC 1. Every seg. Has a unique mdpt.

Draw the auxiliary line AX 2. Through two pts. There is exactly one line.

BX CX 3. Def. of mdpt.

AB AC 4. Given

AX AX 5. Reflexive prop of

ABX ACX 6. SSS steps 3,4,5

<B <C 7. CPCTC


Statement these examples down below

Reason

JL and HK bisect each other.

JG=LG, and HG=KG

JGH=LGK

JHG=LKG

JHG=LKG

Given

Def of bisect

Vert thm

SAS

CPCTC


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