Geometry Definitions, Postulates, Theorems

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10 Οκτ 2013 (πριν από 3 χρόνια και 10 μήνες)

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Geometry Definitions, Postulates, Theorems


4
-
2 Isosceles Triangles



Legs



the congruent sides of an isosceles triangle


Base



the third side


Base angles



the other two angles


Vertex angle



formed by the two congruent sides



Theorem 4
-
1

Isosceles Triangle Theorem



If two sides of a triangle are congruent, then the angles opposite those sides
are also congruent
.

Theorem 4
-
2



The bisector
of the vertex angle of an isosceles triangle is the perpendicular
bisector of the base.

Theorem 4
-
3

Inverse of Isosceles Triangle Theorem


If two angles of a triangle are congruent, then the sides opposite the angles
are congruent.

Corollary

to Isosceles Triangle Theorem


If a triangle is equilateral, then it is equiangular.

Corollary

to Converse of Isosceles Triangle Theorem


If a triangle is equiangular, then it is equilate
ral.




An
equilateral triangle

has three congruent sides. An
equiangular triangle

has
three congruent angles.