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Geometry: Section 4-4: Some Theorems Based on Congruent Triangles

AB
What do we call a triangle with two congruent sides?, Isosceles
What do we call the congruent sides of an isoscles triange?, legs
What do we call the third side of an isosceles triangle?, base
What do we call the angle opposite the base?, vertex angle
What do we call the angles at the base?, base angles
Theorem 4.1: The Isosceles Triangle Theorem. If two sides of a triangle are congruent, then the angles opposite those sides are...., congruent <A is congruent to <B
Theorem 4.2: Converse of Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the sides opposite the angles are..., congruent.
Corollary 3 of Theorem 4.1: the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. So, if side CD bisects side AB, then....., side CD is perpendicular to side AB
Corollary 1 of Theorem 4.1: If a triangle is equilateral, than the triangle is also...., equiangular
Corollary 2 of theorem 4.1: An equilateral triangle has 3..., 60 degree angles.
Corollary to theorem 4.2: an equiangular triangle is also..., equilateral


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