Question

Find the coordinates of point D after the figure is dilated by a scale factor of 5.

• A. (0, 20)
• B. (0, 20)
• C. (20, 0)
• D. (0, 10)

Answer 1

The correct option is A (0, 20)

Dilation is the process of increasing or decreasing the size of an object while maintaining its shape.

Here the scale factor is 5.

Hence, the coordinates of each points should be multiplied by the scale factor to get the dilated image.

D = (0, 4)

Let the point corresponding to D after dilation be D'.

• $x$-coordinate of D' = $0\times 5=0$
• $y$-coordinate of D' = $4\times 5=20$

$\Rightarrow$ D' = (0, 20)

$\therefore$ The coordinated of D after dilation is (0, 20).