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Isosceles Triangle Theorems Overview

Explore the Isosceles Triangle Theorems covering congruence of sides and angles in triangles. Discover proofs, corollaries, and properties such as equilateral triangles and angle measurements. Learn about vertex angles, legs, bases, and bisectors. Enjoy a math joke!

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Isosceles Triangle Theorems Overview

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  1. The Isosceles Triangles Theorems Section 4-6

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

  3. Proof of Theorem 4.9Isosceles Triangle Theorem

  4. Proof of Theorem 4.9Isosceles Triangle Theorem

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

  6. 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. 60 12 12 60 60 12

  7. Parts of an Isosceles Triangle vertex angle leg leg base base angles

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

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

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

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