CorollaryAn equiangular triangle is also equilateral. The isosceles triangle theorems establish a relationship between the different angles and sides of a triangle. The base angles of an isosceles triangle are the angles opposite the congruent sides. As mentioned above, the isosceles triangle theorem is a set of mathematical statements related to the isosceles triangle that can be proven with mathematical proof. ![]() Theorem 4-2 (CONVERSE)If two angles of a triangle are congruent, then the sides opposite those angles are congruent. Prove that the base angles of an isosceles triangle are congruent. Corollary 3 The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.Įxample: 1 C 2 If m∠1 = 140, m∠2 = _, m∠3 _, m∠4 = _ If m∠4 = 65, m∠3 = _, m∠2 = _, m∠1 = _ 3 4 B Aī Example Proof 1 2 j k C A 1) Given 2) Def of isos. Corollary 2 An equilateral triangle has three 60° angles. Proof of Isosceles Theorem A 1) Given 2) Def ∠ Bisector 3) Reflexive Prop 4) SAS 5) CPCTC C B DĬorollaries Corollary 1 An equilateral triangle is also equiangular. Simon and Taylor are trying to prove that the base angles of an isosceles triangle are congruent. Theorem 4-1 The Isosceles Triangle Theorem:If two sides of a triangle are congruent, then the angles opposite those sides are congruent. ![]() The base of an Isosceles Triangle does NOT have to be at the “bottom” How do we prove the isosceles triangle theorem We'll be going over a proof of this important theorem from geometry in today's video lesson We'll draw an an. Isosceles Triangle: Vertex angle Leg Leg Base Angles Base
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