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Similar Shapes

Similar Shapes. Enlargements. Must multiply each side by same value. (Scale Factor). Scale Factor. 10cm. X 2. 8cm. 5cm. 4cm. 3cm. 6cm. Reductions. Scale factor is less than 1. 8cm. 4cm. Scale Factor 0.5. 3 cm. 6 cm. Corresponding Sides. Similar Shapes Calculations.

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Similar Shapes

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  1. Similar Shapes

  2. Enlargements Must multiply each side by same value (Scale Factor) Scale Factor 10cm X 2 8cm 5cm 4cm 3cm 6cm

  3. Reductions Scale factor is less than 1 8cm 4cm Scale Factor 0.5 3 cm 6 cm Corresponding Sides

  4. Similar Shapes Calculations Steps to Success 5 cm Identify Corresponding Sides Calculate Scale Factor 4 cm Multiply by Scale Factor ? 10 ÷ 4 = 2.5 ? = 2.5 X 5 = 12.5 cm 10 cm

  5. Areas Scale Factor 3 6cm 2cm 3cm 9 cm Areas 54cm2 6cm2 9 times as big! Normal scale Factor 3 Area Scale factor 9 → (32)

  6. For Areas you square the normal scale factor Area = 12cm2 Area? 3cm 4.5cm Normal Scale Factor = 4.5 = 1.5 3 Area Scale factor = 1.52 = 2.25 Big Area = 2.25 X 12 = 27cm2

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