Module 15: Lesson 2 Isosceles & Equilateral Triangles

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Presentation transcript:

Module 15: Lesson 2 Isosceles & Equilateral Triangles An isosceles triangle is a triangle with at least 2 sides congruent or the same length. An equilateral triangle is a triangle all 3 sides congruent or the same length.

Legs: The sides that are congruent in length. Vertex Angle Vertex Angle: Angle formed by the legs. Leg Leg Base: The side opposite the vertex angle. Base Angles: The angles opposite the legs. Base Base Angles

The Isosceles Triangle Theorem When the legs are congruent then the base angles are congruent. A Reason Statement B C ΔBAC ΔCAB

The Converse of the Isosceles Triangle Theorem When the base angles are congruent then the legs are congruent. A B C

Equilateral Triangle: All 3 sides are the same length. Equiangular Triangle: All 3 interior angles are the same measure. The Equilateral Triangle Theorem All equilateral triangles are equiangular. The Converse of the Equilateral Triangle Theorem All equiangular triangles are equilateral.

Homework pages 745-750 #’s 1-20 (all)