Similar polygons
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Similar Polygons. Section 7.2. M.C. Escher’s Circle Limit IV Winged images are the same shape but different sizes. They are similar images. Similar – same shape but different size

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Similar Polygons

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Similar polygons

Similar Polygons

Section 7.2


Similar polygons

  • M.C. Escher’s Circle Limit IV

  • Winged images are the same shape but different sizes.

  • They are similar images


Similar polygons

  • Similar – same shape but different size

  • Polygons are similar if and only if the corresponding angles are congruent and the corresponding sides are proportional.

  • The symbol ~ is used to show similarity


Similar polygons

  • Similarity statement – order is important. Corresponding sides/angles must match up just like they did in congruent triangles.


Example 1 determine whether each pair of figures is similar justify your answer

Example 1 Determine whether each pair of figures is similar. Justify your answer.

  • All right angles are congruent, so QM.

  • PL and RN.

  • Sides opposite 90° angle

  • or 1.15 and or 1.15 and


Similar polygons

  • Is ABCD ~ EFGH?


Similar polygons

  • Scale factor – the ratio of corresponding sides

  • In example 1 the scale factor is 1.15

  • In example 2 there is no scale factor


Example 3 real world

Example 3 Real world

  • Special effects in movies are often created using miniature models. In a recent movie, a model jeep 31 inches long was created to look like a real 15-foot jeep. What is the ratio of the length of the model compared to the length of the real jeep?


Given the two polygons are similar

Given: The two polygons are similar.

  • Write a similarity statement: ______________

  • Write a statement of Proportionality :

  • Then find x, y and RQ:

  • Scale Factor:_____


Similar polygons

  • Triangle JKL is similar to PQR with a scale factor of 3/4. If the sides of JKL are 6, 12, and 15 inches, what are the lengths of the sides of PQR?


Similar polygons

  • 1. Find x and y.

  • 2. Scale factor: ______

  • Are they similar? why or why not?


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