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https://share.ehs.uen.org/node/30710

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http://ocas.pearsonschool.com/ph/cd/0-13-250447-2/phs_geometry_na_main.html?chapter=null&page=null&anchory=null

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http://www.mathwarehouse.com/geometry/congruent_triangles/isosceles-triangle-theorems-proofs.php

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The bisector of the vertex angle in an isosceles triangle is the perpendicular bisector of the base

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Theorem 4.4 (Converse  of Isosceles Triangle Theorem): 

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Theorem 4.4 (Converse  of Isosceles Triangle Theorem): 

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If two angles of a triangle are congruent, then the sides opposite the angles are congruent.

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Theorem 4.3 (Isosceles Triangle Theorem): 

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Theorem 4.3 (Isosceles Triangle Theorem): 

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If two sides of a triangle are congruent, then the angles opposite sides are congruent.

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The angles that connect the base to each congruent leg

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The third side of the triangle that is not congruent to the other legs.

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The angle that connects the two congruent legs

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The two congruent sides of an isosceles triangle.

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An isosceles triangle is a triangle that has at least two congruent sides.

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Cameron Zuccarini