Ratios in Similar Polygons

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Presentation transcript:

Ratios in Similar Polygons Essential Question: How will I determine if polygons are similar and use the properties of similar polygons to solve problems?

Definition Similar polygons: are polygons that have the same shape but not necessarily the same size. Similar Polygons Definition Corresponding angles are congruent. Corresponding sides are proportional. similar (~)

Identify the pairs of congruent angles and corresponding sides. A  Q, B  R, C  S, and D  T J  M, K N, L  P JK KL LJ MN, NP, PM AB BC CD DA QR, RS, ST, TQ Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement. 5 Or .33 15 10 or .667 15 17 or .667 25.5 12 or .667 18 8 Or .33 24

You can use properties of similar polygons to solve problems.