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Warm-Up

Warm-Up. If ∆ QRS  ∆ ZYX , identify all 3 pairs of congruent angles and all 3 pairs of congruent sides. Geometry 7-2. Similar Polygons. Definition. Figures that are similar (~) have the same shape but not necessarily the same size. Definition.

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Warm-Up

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

  2. Geometry 7-2 Similar Polygons

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

  4. Definition • Two polygons are similar polygons if and only if: • Corresponding angles are congruent • Corresponding side lengths are proportional

  5. Example Show that the following triangles are similar.

  6. A similarity ratiois 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. Definition

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

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