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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 "is the same order of magnitude as" and "is asymptotic to.") Two figures are inversely similar when all corresponding angles are equal and described in the opposite rotational sense.

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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