Question

The below figure is dilated with a scaling factor of $\frac{1}{2}.$ Determine the ordinate of the point C after dilation.

Answer 1

When a figure is dilated, the coordinates of each boundary points get multiplied by the scaling factor.

Here, the scaling factor is $\frac{1}{2}$.

Ordinate of point C = 2

Ordinate of point C after dilation
$=2\times \text{scaling factor}$
$=2\times \frac{1}{2}$
$=1$