3.2 notes
September 27, 2016
Chapter 3 class notes
3.1 What does it mean for
triangles to be congruent?
G: MT bisects <AMS,
AM = MS
P:
AMT =
SMT
M
T
A
Triangles are Congruent IFF all pairs
of corresponding parts are congruent
S
3.2 notes
September 27, 2016
R
D
T
C
B
A
L
Can you name
the congruent
triangles and the
corresponding
parts ?
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September 27, 2016
F
Consider FRO a
reflection
IS
FLO =
R
L
over the line FO
FRO ?
O
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September 27, 2016
3.2 THREE WAYS TO PROVE
TRIANGLES CONGRUENT
SSS Postulate
How many different triangles can be built
using these three segments?
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September 27, 2016
SAS Postulate
If the black segments were connected to the red
ones to form triangles, would the triangles be
congruent.?
These triangles are congruent
because...
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September 27, 2016
ASA Postulate
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September 27, 2016
G: DC
A1
AB
CD bisects <ACB
P: <1
<2
can you prove the triangles
congruent, first?
D
B 2
C
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September 27, 2016
G: NW SW
<MNS
<3
<TSN
<4
P: MN
TS
can you prove the triangles
congruent, first?
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September 27, 2016
3.2 notes
September 27, 2016
ways to prove triangles congruent:
SSS
SAS
ASA
TEMPLATE
given....
congruence
congruence
congruence
triangles congruent
SSS, or SAS, or ASA
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September 27, 2016
3.3 CPCTC and Circles
M
G: SM = PM
<SMW <PMW
P: SW WF
S
W
P
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G: circle O
GO bisects FH
P: < FGO < HGO
F
G
O
H
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G 0 O, CD = DE
P <COD = <DOE
C
D
O
E
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September 27, 2016
3.4 Beyond CPCTC
Given AB
AC
CD
PROVE: < B
DB
<C
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September 27, 2016
3.2 notes
September 27, 2016