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Circle Limit III M.C. Escher

Similar Polygons. Spi.2.2.B. Section 6-2. Circle Limit III M.C. Escher. Jim Smith JCHS. Similar figures look alike but one is a smaller version of the other. Like Dr. Evil and Mini-Me. It wouldn’t make much sense to make a drawing of this ship the actual size of the ship.

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Circle Limit III M.C. Escher

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  1. Similar Polygons Spi.2.2.B Section 6-2 Circle Limit III M.C. Escher Jim Smith JCHS

  2. Similar figures look alike but one is a smaller version of the other. Like Dr. Evil and Mini-Me. It wouldn’t make much sense to make a drawing of this ship the actual size of the ship.

  3. Just like congruent polygons, the corresponding angles in similar polygons must be congruent.

  4. A = 80° B = 30° Z = 170° W = ___ X = ___ D = ___ 80° 30° 170° B A W X Z Y D C

  5. The sides are a little different. They must be PROPORTIONAL. AB = BC = CD = DA WX XY YZ ZW B A W X Z Y D C

  6. This means I should be able to multiply each side of the smaller polygon by the same number and get it’s corresponding side on the bigger polygon. 4x2 = 8 4 3x2 = 6 5x2 = 10 3 5 2 2x2 = 4

  7. The SCALE FACTOR is the ratio of the corresponding sides SMALLBIG BIG SMALL or

  8. What is the scale factor of these polygons? 10 4 6 X 7 Z Y 8 10 4 5 2 = Scale Factor =

  9. 10 4 5 2 56 2 Z = = Use the scale factor to find the other sides 10 4 7 Z 6 X SF = Y 8 5X 2 7 58 2 Y = = 5y = 16 y = 16 = 3.2 5 5z = 12 z = 12 = 2.4 5 2x = 35 x = 35 = 17.5 2

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