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The Isosceles Triangle Theorems

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Presentation on theme: "The Isosceles Triangle Theorems"— Presentation transcript:

1 The Isosceles Triangle Theorems
Section 4-4 The Isosceles Triangle Theorems

2 Isosceles Diagram: Vertex Angle Base

3 Description of Parts: Legs: the congruent sides Base: non-congruent side; opposite the vertex angle Base Angles: the two ’s formed by the base and one of the congruent sides Vertex Angle:  formed by the  sides

4 The Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are congruent. A B C So…

5 In other words, Base angles of an isosceles triangle are congruent!

6 An equilateral triangle is also equiangular.
Corollaries: An equilateral triangle is also equiangular. An equiangular triangle is also equilateral. An equilateral triangle has three 60 degree angles.

7

8 Corollary: The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint. A B C M

9 cONVERSE Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite those angles are congruent. A B C So…


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