Question

A 3-D printed model of a building has a corner at (2, 3, 4). The model is dilated from the origin by a scale factor of 2.5.

What will be the new coordinates of that corner?

Responses

(8, 12, 16)
left parenthesis 8 comma 2 comma 16 right parenthesis

(4.5, 5.5, 6.5)
left parenthesis 4.5 comma 5.5 comma 6.5 right parenthesis

(2, 3, 4)
left parenthesis 2 comma 3 comma 4 right parenthesis

(5, 7.5, 10)

Answer 1

Multiply each coordinate by 2.5: (2×2.5, 3×2.5, 4×2.5) = (5, 7.5, 10). So the correct choice is (5, 7.5, 10).