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Warm Up
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Warm Up 11.14.11Week 5
Can the theorems be used to prove triangle congruency?
1) ASA 2) SAS 3) SSA
CA
B
FD
E
Geometry
4.5 Day 1
I will use congruent triangles to plan and write proofs.
Rule 1 Place congruency marks as you prove.
∠A ≅ D ∠
≅
Given:
Given:
Ex 1
F
E
G
H
C
A
B
D
CPCSC Corresponding Parts of Congruent Shapes are Congruent
Ex 2
∠A ≅ E ∠
CPCSC
Statement
Reason
ABCD ≅ EFGH
Given:
∠ABD ≅ CDB ∠
∠ADB ≅ CBD ∠
B
D
C
A
∥Given:
∥Given:
∆ABD ≅ ∆CDBProve:
≅
∆ABD ≅ ∆CDB
Alternate Interior Angles Theorem
Alternate Interior Angles Theorem
Reflexive Property of Congruence
ASA
Ex 3
Statement Reason
Ex 4
Given
Definition of midpoint
Vertical Angles Theorem (2.6)∠MAS ≅ TAR ∠
CPCSC
∆MAS ≅ ∆TAR
Alternate Interior Angles Converse ( T3.8 )
M
S
R
A
T
Given: A is midpoint of
Given: A is midpoint of
Prove: ∥
A is midpoint of and
≅ ≅,
SAS ( P19 )
∠SMA ≅ RTA ∠
∥
Do: 1
Assignment:
Textbook Page 232, 4 - 10 all and 14.
N
M
L
P
Q
≅ Prove: