The Isosceles Triangles Theorems Section 4-6 Isosceles Triangle Theorem  If 2 sides of a triangle are congruent, then the angles opposite those sides.

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Presentation transcript:

The Isosceles Triangles Theorems Section 4-6

Isosceles Triangle Theorem  If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent

Theorem 4-10  If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.

Corollaries 4.3 and 4.4  A triangle is equilateral if and only if it is equiangular.  Each angle of an equilateral triangle measures 60 degrees

 Parts of an Isosceles Triangle leg base vertex angle base angles

 The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.

Joke Time Who was the first math student? Add-em

 Why isn’t your nose 12 inches long?  Because then it would be a foot