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Similar figures & scale drawings
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SIMILAR FIGURES Have the same shape, but not necessarily the same size
Have corresponding angles Have corresponding sides Corresponding Angles X A 53 53 6 9 37 B 37 C 8 Y 12 Z Corresponding Sides
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Key Concepts Similar figures have 2 properties:
1. Corresponding Angles must have the same measurement 2. The lengths of Corresponding Sides must be proportional
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To set up the proportion…
Put measurements for the smaller figure in the numerator spots and the measurements for the bigger figure in the denominator spots Cross Multiply
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Example… 24 E F A 16 B x 18 D C G H x = 16 24 Step 1 – cross multiply x = 18(16) Step 2 – multiply x = 288 Step 3 – divide by whatever is connected to your variable 24x = 288 x = 12
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