CK12 - Geometry

(Marvins-Underground-K-12) #1

SimilarPolygons


LearningObjectives



  • Recognizesimilarpolygons.

  • Identifycorrespondinganglesand sidesof similarpolygonsfrom a statementof similarity.

  • Calculateand applyscalefactors.


Introduction


Similarfigures,rectangles,triangles,etc., havethe sameshape.Sameshape,however, is not a precise
enoughterm for geometry. In this lesson,we’ll learna precisedefinitionfor similar, and applyit to measures
of the sidesand anglesof similarpolygons.


SimilarPolygons


Lookat the trianglesbelow.



  • The triangleson the left arenotsimilarbecausethey are not the sameshape.

  • The trianglesin the middlearesimilar. Theyare all the sameshape,no matterwhattheir sizes.

  • The triangleson the rightaresimilar. Theyare all the sameshape,no matterhow they are turnedor
    whattheir sizes.


Lookat the quadrilateralsbelow.

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