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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?

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Solution

The rule that describes Dilation A is (x, y) -> (2x, 2y).

Here's why:

  1. In the problem, we're given that the point (2, 4) is mapped to (4, 8) under Dilation A.

  2. 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).

  3. Therefore, the rule for Dilation A is (x, y) -> (2x, 2y), which means "multiply both the x and y coordinates by 2".

This problem has been solved

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