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5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles...

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5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle: Sketch an Isosceles Triangle: Using the Base Angles Theorem: A triangle is isosceles when it has at least two congruent sides. If there are only two congruent sides, then these are called legs. The angle formed by the legs is the vertex angle. The third side Is known as the base. The two angles adjacent to the base are Known as the base angles.
Transcript
  • 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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