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9-5: Dilations
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Dilation A transformation that changes the size of an object.
Similarity transformation – not an isometry r=the number you multiply each point by. If r>1, the dilation is an enlargement. If 0<r<1, the dilation is a reduction If r=1, the dilation is a congruence transformation (nothing changes.)
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Examples: 1. Triangle ABC with A(3,2), B(-1,-2), C(2,2) is dilated with r=3, find the coordinates of triangle A’B’C’ and graph. Center=(0,0) 2. The same triangle ABC is dilated with r=½. Find A’B’C’ and graph. Center=(0,0)
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Scale Factor Triangle ABC has points A(3,4), B(-2,4) and C(0,0). If A’(6,8), B’(-4,8) and C’(0,0), is this transformation an enlargement or reduction and by what scale factor? The red rectangle is the preimage. Is this transformation an enlargement or reduction and by what scale factor?
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With matrices: The triangle with vertices A(3,4), B(7,-5) and C(-4,9) is enlarged by a scale factor of 4, which of the following represents A’B’C’. A) B) C)
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