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4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.

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Presentation on theme: "4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base."— Presentation transcript:

1 4.5 Isosceles and Equilateral Triangles

2 Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base Legs Vertex Angle

3 Isosceles Triangle Theorem If two sides of a triangle are congruent, the angles opposite them are congruent.

4 Converse of Isosceles Triangle Theorem If two angles of a triangle are congruent, the sides opposite them are congruent

5 The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base and bisects

6 Corollary to Theorem 4.3 If a triangle is equilateral, then the triangle is equiangular x Y Z

7 Corollary to Theorem 4.4 If a triangle is equiangular, then the triangle is equilateral x Y Z


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