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Published byJennifer Foster Modified over 8 years ago
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Chapter 7
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A B C A' B' C' We write ΔABC = Δ A'B'C' ~
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A B C A' B' C' We write ΔABC ~ ΔA'B'C'
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Transforms a figure into an isometric figure Translation (t) Rotation (r) Reflection (s) Glide reflection (gr) Transforms a figure into a similar figure Dilation: Enlarge or reduce from the initial (1 st ) to the image (2 nd ) *think of a photo copy machine *** dilation + any isometry = composition (which is a similitude)
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Ratio: measure of image measure of initial Ratio: 1 or 2 or 3 5 10 15 Ratio is k=0.2 Initial Image 5 10 15 1 2 3
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Initial Image 4cm 6cm 8cm 12cm Ratio of sides: k = 12 6 k = 2 Ratio of perimeters: k = 40 20 k = 2 Perimeter: 20cm Perimeter: 40cm
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Scale factor: k perimeter of initial X k = perimeter of the image
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Initial Image 6 cm 10 cm 24 cm Step 1 - Find the missing side of initial triangle (use Pythagoras) missing side: 8cm Step 2 – Calculate perimeter of the initial p = 8+6+10 p=24 Step 3 – Find k k = 24 = 3 8 Step 4 – Calculate the perimeter of the image P=24 x 3 = 72cm Find the perimeter of the image
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Workbook p. 216 (all) p. 217 Activity 3 p.221 #1,2,3
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