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    Similar Figures

    Illustration

    Illustration

    Alternate name

    similar figures

    Basic definition

    In geometry, two figures are said to be similar when their corresponding angles are all equal and their distances are all scaled by the same ratio.

    Detailed definition

    Two figures are said to be similar when all corresponding angles are equal and all distances are increased (or decreased) in the same ratio, called the ratio of magnification. A transformation that takes figures to similar figures is called a similarity. Two figures are directly similar when all corresponding angles are equal and described in the same rotational sense. This relationship is written A~B. (The symbol ~ is also used to mean

    Related terms

    coincident | congruent | directly similar | homothetic | inversely similar | Napoleon's theorem | similarity | similar matrices | similar triangles | spiral similarity

    Educational grade level

    high school level (California geometry standard)

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