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Chapter 7. A B C A' B' C' We write ΔABC = Δ A'B'C' ~

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Presentation on theme: "Chapter 7. A B C A' B' C' We write ΔABC = Δ A'B'C' ~"— Presentation transcript:

1 Chapter 7

2 A B C A' B' C' We write ΔABC = Δ A'B'C' ~

3 A B C A' B' C' We write ΔABC ~ ΔA'B'C'

4 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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6 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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8 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

9 Scale factor: k perimeter of initial X k = perimeter of the image

10 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

11 Workbook p. 216 (all) p. 217 Activity 3 p.221 #1,2,3


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