Notes 5D CPCTC proofs.notebook
Bell Work
November 07, 2011
If ,then
solve for x and y
1.
2.
40
x
y
y
x
68
Oct 22 ­ 3:55 PM
Notes 5D: Proofs by CPCTC
What postulate is used to prove these triangles are ~
=?
SAS
Q
X
)
Y
Z
R
)
S
What are the 3 corresponding parts that prove the
are ~
= ?
's
What is the congruent statement?
Once you are able to prove that 2 triangles are congruent you
can then prove the other corresponding parts are also
congruent.
What are the other 3 corresponding parts that are congruent,
's that are congruent?
since we have 2
1. <Y ~
= <S
2. <Z ~
= <Q
~
3. YZ = SQ
Oct 22 ­ 3:55 PM
1
Notes 5D CPCTC proofs.notebook
November 07, 2011
Once you prove 2 triangles are
congruent then all corresponding
parts are also congruent.
CPCTC
C oressponding
P arts
of
C ongruent
T riangles
are
C ongruent
Oct 22 ­ 4:08 PM
CPCTC proofs (look at what you are trying to prove)
A
~
1) Given: <1 ~
= <2, <3 = <4
BC ~
= DE
Prove: AB ~
= AE
1
B
Statements
3
C
4
D
2
E
Reasons
Oct 22 ­ 4:15 PM
2
Notes 5D CPCTC proofs.notebook
2) Given: AB
BC
AC
Prove: <A
~
= DE
~
= EF
~
= DF
~
= <D
Statements
November 07, 2011
A
D
B
C
F
E
Reasons
Oct 22 ­ 4:19 PM
3)
Given: AB ~
= AD
BC ~
= CD
Prove: <1 ~
= <2
B
A
2
1
C
D
Statements
Reasons
If ,then
Oct 22 ­ 4:23 PM
3
Notes 5D CPCTC proofs.notebook
3)
November 07, 2011
Given: AB ~
= AD
BC ~
= CD
Prove: <1 ~
= <2
B
A
2
C
1
D
Statements
Reasons
If ,then
Oct 22 ­ 4:23 PM
4) Given: RS ~
= SV
S is the midpoint of QT
Prove: QR ~
= TV
R
T
1
S
2
Q
Statements
V
Reasons
Oct 22 ­ 4:29 PM
4
Notes 5D CPCTC proofs.notebook
November 07, 2011
Assignment
Worksheet 5D
Oct 22 ­ 4:34 PM
5