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Proving Theorems about
Isosceles Triangles
(5.6.2)
May 19th, 2016
Isosceles Triangles
Definition: An isosceles triangle has two congruent
sides, called legs.
Isosceles Triangle Theorem
If a triangle is isosceles, then
it has congruent base angles.
B  C
Proof of the Isosceles Triangle Theorem
Given: ABC
is isosceles.
Converse of the Isosceles Triangle Theorem
If a triangle has two
congruent angles, then the
triangle is isosceles.
Equilateral Triangles
Definition: An equilateral triangle is a triangle with three
congruent sides.
*Equilateral triangles are equiangular, and vice versa.
A  B  C
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