Given:
Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2.
To find:
The new coordinates of point S', and state whether the dilation is an enlargement or a reduction.
Solution:
If a figure is dilated by factor k with origin as center of dilation, then
Where, 0<k<1 is reduction and k>1 is enlargement.
The figure is dilated by scale factor 2 which is greater than 1, so the dilation is an enlargement. The rule of dilation is:
Using this rule, we get
Therefore, the new coordinates of point S' are (8,-4).