Question

A figure is dilated by a scale factor of 2.5. If the origin is the center of
dilation, what are the coordinates in the original figure of a vertex
located at (7.9) in the enlarged figure?
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Answer 1

Answer:

C.

Step-by-step explanation:

So, if the new image coordinates are (7,9) and it is dilated from the origin there is a rule. If it is dilated from the origin you would multiply the pre-image coordinates by the scale factor so, (kx,ky) where k is the scale factor. In this case, we would divide by 2.5 so 7 divided by 2.5 is 2.8 and 9 divided by 2.5 is 3.6. The correct answer would be C. (2.8,3.6).

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Answer 2

The coordinates in the original figure is (2.8, 3.6).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is dilated by a factor k, the new point would be at A'(kx, ky).

Given that after a dilation by a scale factor of 2.5, the new vertex is at (7, 9) hence:

(2.5x, 2.5y) = (7, 9)

(x, y) = (2.8, 3.6)

Therefore the coordinates in the original figure is (2.8, 3.6).

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