Isosceles Triangles

Isosceles Triangle

2 legs and 1 base, 1 vertex angle and two base angles. Two sides are congruent. Both base angles are congruent

Vertex Angle

The angle on an isosceles triangle where the two legs meet (angle created by the vertex of the two legs)

Base

The segment on an isosceles triangle that is not congruent to the two legs

Base Angles

The two angles on the base of an isosceles triangle formed by the vertex of the base and its two legs

Isosceles Triangle Theorem

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

Coronary

A theorem based on a previous theorem

Cor. to Isos. Triangle Thm.

If a ray bisects the vertex angle of an isis. triangle then it is perp. through the mdpt of the base

Converse of Isos. Triangle Thm.

If two angles of a triangle are congruent then the sides pop. those angles are congruent