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# 4.6 The Isosceles Triangle Theorems

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4.6 The Isosceles Triangle Theorems. Base Angles and Opposite Sides Hypotenuse - Leg. Parts of an Isosceles Triangle. Isosceles Triangle Theorem. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. . Isosceles Triangle Theorem. - PowerPoint PPT Presentation
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4.6 The 4.6 The Isosceles Isosceles Triangle Triangle Theorems Theorems Base Angles and Opposite Base Angles and Opposite Sides Sides Hypotenuse - Leg Hypotenuse - Leg
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• 4.6 The Isosceles Triangle TheoremsBase Angles and Opposite SidesHypotenuse - Leg

• Parts of an Isosceles Triangle

• Isosceles Triangle TheoremIf two sides of a triangle are congruent, then the angles opposite those sides are congruent.

• Isosceles Triangle TheoremIf two sides of a triangle are congruent, then the angles opposite those sides are congruent.Given:Bisect angle ASo by SAS So

By C.P.C.T.

• Corollary of Isosceles Triangle TheoremAn equilateral triangle is also equiangular

An equilateral triangle has three 60 degree angles.

The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.

• Another Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

What is this compared to the Isosceles Triangle Theorem?

An equiangular triangle is also equilateral.

• Solve for x and y

• Solve for angles 2,3,4Given:

• Hypotenuse Leg (HL)In two right triangles if the hypotenuse and one leg are congruent, then the triangles are congruent.

To use this you must show Right Triangles

• Solve for v

• Find the missing side

• HomeworkPage 239 242 #9 25 odd, 34 -37, 39

• HomeworkPage 239 242 #8 -24 even29- 33

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