Transcript Lesson 5: 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
A
DF
B
DE
C
D
AB
EF
BC
E
AC
F
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!!!!
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
K
J
L
LJK  LMK
M
JK  MK , JL  ML, KL  KL
 JLK  MLK ,  LJK  LMK ,  J  M
http://www.lz95.org/lzhs/Math/knerroth/geometry/Geometry%20Chap%203%20PDF/3.3-CPCTC.ppt#256,1,CPCTC
Using CPCTC
ABC  DEF
C
A
B
F
D
With your partner
write down all
congruent parts.
E
 A  D,  B  E ,  C  F
AB  DE , BC  EF , AC  EF
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
K
ΔJKL  ΔMKL
J = 3x + 2
JLK = 90°
J
L
J = 53
JKL = 37
JLK = 90
MLK = 90
MKL = 37
M = 53
M
M = 5x - 32
CPCTC in a Proof:
T
Given: TI  SN
TN  SI
S
Prove:  T   S
E
I
N
CPCTC in Proofs:
A
Given: JM  RM
AM  MI
Prove: AJ  RI
J
M
R
I
HOMEWORK
Work Packet: CPCTC