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Published byJanel Eustacia Lambert Modified over 5 years ago

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Warm-Up If ∆QRS ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.

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Geometry 7-2 Similar Polygons

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Definition Figures that are similar (~) have the same shape but not necessarily the same size.

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Definition Two polygons are similar polygons if and only if: –Corresponding angles are congruent –Corresponding side lengths are proportional

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Example Show that the following triangles are similar.

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Definition A similarity ratio is the ratio of the lengths of the corresponding sides of two similar polygons. The similarity ratio of ∆ABC to ∆DEF is, or. The similarity ratio of ∆DEF to ∆ABC is, or 2.

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Definition A similarity statement is a statement that declares two figures similar. ∆ABC ~ ∆DEF

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