isosceles and equilateral triangles -...
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Isosceles and Equilateral Triangles
Section 5.4
Triangles
• Opposite – Across from
A
B
C
Example
Side opposite A is BC
Angle opposite AB is C
Isosceles Triangle Anatomy
LegLeg
Base
Base Angles
Vertex Angle
Base Angles Theorem
• If two sides of a triangle are congruent, then the angles opposite them are congruent.
402 x 223 x
Converse of Base Angles Theorem• The converse is also true!
63 x
10x
Example
NL SL
Name what sides or angles must be congruent with the given information.
1 4M
N
L
R
T
S
12
34
5
6
7
8
10
9
11
9 10
Corollary to Base Angles Thm.
• If a triangle is equilateral, then the triangle is equiangular.
• The converse of this statement is also true.
Example
Lesson 5.4 p.256; 3-16, 23-24, 42-44
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