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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 on theme: "The Isosceles Triangles Theorems Section 4-6 Isosceles Triangle Theorem  If 2 sides of a triangle are congruent, then the angles opposite those sides."— Presentation transcript:

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2 The Isosceles Triangles Theorems Section 4-6

3 Isosceles Triangle Theorem  If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent. 8 8 50

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

5 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. 12 60

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

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

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

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


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