If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

-1

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Solution

The correct option is D
3

A dilation changes the distance between points by multiplying the x and ycoordinates by the scale factor. The x coordinate for A is 1, and the x coordinate for A' is 3. Then, we use the scalar factor k,

1k = 3

i.e. k = 3

Therefore the required dilation factor/constant is 3.

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