Download Cong sss sas saa asa (Day 1).notebook

Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Geometry: Ch. 4 Triangle Congruence
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Congruent ( = ) Figures: All the parts of one figure are congruent to the ___________ parts of the other figure. EX. 1
E
B
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ABC = FED
A
D
F
C
Congruent Angles: Congruent Sides: EX. 2
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JKL = PNM
P
L
N
J
K
M
Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Side­Side­Side (SSS) Congruence: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. K
F
H
G
Side­Angle­Side (SAS) Congruence: If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of a second triangle, then the two triangles are congruent. Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Angle­Side­Angle (ASA): If two angles and the INCLUDED side of one triangle are congruent to two angles and the INCLUDED side of a second triangle, then the two triangles are congruent.
E
B
A
C D
F
Angle­Angle­Side (AAS): If two angles and a non­included side of one triangle are congruent to two angles and the corresponding non­included side of a second triangle, then the two triangles are congruent. Y
R
W
X S
Q
Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Cong sss sas saa asa (Day 1).notebook
November 26, 2012
Ex. 1
State if the two triangles are congruent. If so, state how you know.
d. ___
a. _________ b. _______ c. ______ Ex. 2
State what additional information is required in order to know that the triangles are congruent for the given reason. G
L
A
K
H
F
B
b. AAS
b. a. SSS
D
J
C
Cong sss sas saa asa (Day 1).notebook
November 26, 2012