5'5 Inequalities Involving 2 Triangles

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5.5 Inequalities Involving 2 Triangles
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SAS Inequ Thm (Hinge Thm) If 2 sides of ?
congruent 2 sides of another ? included lt of
1st ? gt included lt of 2nd ? ? 3rd side of 1st ? gt
3rd side of 2nd ?.
? a gt b
40
60
a
b
Why called Hinge Thm?
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Ex Proof
B
X
Y
C
A
Z
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SSS Inequ Thm If 2 sides of 1 ? congruent to 2
sides of another ? the 3rd side of 1st ? gt 3rd
side of 2nd ? ? included lt of 1st ? gt included lt
of 2nd ?.
? lt1 gt lt2
1
2
sm
big
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Exs Write an inequ relating the pair of lt or
seg meass.
D
E
2.
1. AB___BC
6
30º
6
40º
H
F
4
4
8
7
ltFEG___ltHEG
G
C
A
B
I
M
NA
18
4.
3.
17
12
39º
L
J
38º
12
16
P
Q
18
K
NP___MQ
ltIJK___ltKJL
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5.5 worksheet