Dilation A maps the point (2, 4) to (4, 8). Which of the following rules describes the Dilation A?Group of answer choicesNext
Question
Dilation A maps the point (2, 4) to (4, 8). Which of the following rules describes the Dilation A?
Group of answer choices
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Solution
The rule that describes Dilation A is (x, y) -> (2x, 2y).
Here's why:
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In the problem, we're given that the point (2, 4) is mapped to (4, 8) under Dilation A.
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This means that the x-coordinate is multiplied by 2 (since 22 = 4) and the y-coordinate is also multiplied by 2 (since 42 = 8).
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Therefore, the rule for Dilation A is (x, y) -> (2x, 2y), which means "multiply both the x and y coordinates by 2".
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