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CPCTC. http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC. Match the Corresponding Parts. A B C AB BC AC. DF DE D EF E F. C.P.C.T.C. C orresponding P arts (of) C ongruent T riangles (are) C ongruent.

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Cpctc

CPCTC

http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC


Match the corresponding parts
Match the Corresponding Parts

A

B

C

AB

BC

AC

DF

DE

D

EF

E

F


C p c t c
C.P.C.T.C.

  • Corresponding

  • Parts (of)

  • Congruent

  • Triangles (are)

  • Congruent

If two triangles are congruent, then their corresponding parts are also congruent.

http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC


Very important
Very important!!!!

  • Before you use CPCTC you must prove or know that the two triangles congruent!!!

http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC


Using CPCTC

http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC


Using cpctc
Using CPCTC

With your partner write down all congruent parts.

http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC


Find the value of all the angles
Find the value of all the angles

ΔJKL  ΔMKL

J = 3x + 2

JLK = 90°

M = 5x - 32

J =

JKL =

JLK =

MLK =

MKL =

M =

53

37

90

90

37

53


Cpctc in a proof
CPCTC in a Proof:

Given: TI  SN

TN  SI

Prove:  T   S

T S

E

I N


Cpctc in proofs
CPCTC in Proofs:

A

J M R

I

Given: JM  RM

AM  MI

Prove: AJ  RI


Homework
HOMEWORK

Work Packet: CPCTC


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