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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.
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Page 1: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:

5.4EquilateralandIsoscelesTriangles

SpiralReview:Sketchandcorrectlylabelthefollowing.

SketchanEquilateralTriangle: SketchanIsoscelesTriangle:

UsingtheBaseAnglesTheorem:

Atriangleisisosceleswhenithasatleasttwocongruentsides.

Ifthereareonlytwocongruentsides,thenthesearecalledlegs.Theangleformedbythelegsisthevertexangle.ThethirdsideIsknownasthebase.ThetwoanglesadjacenttothebaseareKnownasthebaseangles.

Page 2: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:

Example1:Usingthebaseanglestheorem.

Example2:Measuresofatriangle

DeterminethemeasureofangleP,R,andQ.

Example3:UsingIsoscelesandEquilateralTriangles

Findthevaluesofxandyinthediagram.

Page 3: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:

Example4:Multistepproblem

Classwork/Homework

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

Page 4: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:
Page 5: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:
Page 6: 5.4 Equilateral and Isosceles Triangles · 1/5/2018  · 5.4 Equilateral and Isosceles Triangles Spiral Review: Sketch and correctly label the following. Sketch an Equilateral Triangle:

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