Determining Center of Dilation
Locate the center of dilation given a pre-image and its dilated image on a coordinate plane. Use lines connecting corresponding points to find the center.
Questions
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MultiChoice
If A(2, 4) maps to A'(6, 12) with k = 3, what is the center of dilation?
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If A(3, 5) maps to A'(5, 9) with scale factor k = 2, what is the center of dilation?
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MultiChoice
How can the center of dilation be found graphically given pre-image and image figures?
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MultiChoice
If point P(2, 3) maps to P'(2, 3) under a dilation with k = 4, what is the center of dilation?
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MultiChoice
Points B(-4, 2) and C(6, -8) map to B'(-2, 1) and C'(3, -4) with k = 0.5. Where is center of dilation?
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MultiChoice
If D(5, 7) maps to D'(7, 11) with k = 2, what is the center of dilation C(x_c, y_c)?
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MultiChoice
Which statement best describes the center of dilation?
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MultiChoice
Point E(4, 8) maps to E'(7, 14) with scale factor k = 3. What is center of dilation?
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MultiChoice
How many lines connecting corresponding points are needed to uniquely determine the center of dilation?
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MultiChoice
If F(1, 3) maps to F'(3, 7) with k = 2, determine center of dilation C.
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MultiChoice
G(10, 6) maps to G'(7, 4) under scale factor k = 0.5. Find center of dilation.
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MultiChoice
Where does the center of dilation lie relative to any pre-image point and its image point?