5.4 equilateral and isosceles triangles · 1/5/2018  · 5.4 equilateral and isosceles triangles...

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5.4EquilateralandIsoscelesTriangles

SpiralReview:Sketchandcorrectlylabelthefollowing.

SketchanEquilateralTriangle: SketchanIsoscelesTriangle:

UsingtheBaseAnglesTheorem:

Atriangleisisosceleswhenithasatleasttwocongruentsides.

Ifthereareonlytwocongruentsides,thenthesearecalledlegs.Theangleformedbythelegsisthevertexangle.ThethirdsideIsknownasthebase.ThetwoanglesadjacenttothebaseareKnownasthebaseangles.

Example1:Usingthebaseanglestheorem.

Example2:Measuresofatriangle

DeterminethemeasureofangleP,R,andQ.

Example3:UsingIsoscelesandEquilateralTriangles

Findthevaluesofxandyinthediagram.

Example4:Multistepproblem

Classwork/Homework

3-10,13-16,21,29,30,31,35

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