7-1 Geometric Inequalities
A) Inequalities for Numbers, Segments and Angles
a. Definition
i.
If
CD
AB D
, then
CD
AB D
ii. Or
1.
One segment is less than or shorter than
another if its length is less
b. Definition
i.
If
B
m
A
m
D
D
∠
, then
B
A
∠
∠
ii. Or
1.
One angle is less than or shorter than another
if its measure is less
B) A review of some properties and a theorem
a.
Trichotomy Property (also called the Comparison
Property)
i.
For every x and y only one of the following holds
1.
y
x
y
x
y
x
=
°
b.
Transitive property
i.
If
y
x D
and
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- Spring '09
- Johnson
- Algebra, Binary relation, Trichotomy, 7-1 Geometric Inequalities
-
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