We are asked to dilate the given two points.
P(3, 4) by a scale factor of k = 1/2
Multiply the x and y coordinates by the scale factor.
[tex]P(3,4)\rightarrow P^{\prime}(\frac{1}{2}\cdot3,4\cdot\frac{1}{2})=P^{\prime}(1.5,2)[/tex]Therefore, the dilated point is P'(1.5, 2)
This is an example of reduction.
Similarly,
N(4, 15) by a scale factor of k = 2
Multiply the x and y coordinates by the scale factor.
[tex]N(4,15)\rightarrow N^{\prime}(2\cdot4,2\cdot15)=N^{\prime}(8,30)[/tex]Therefore, the dilated point is N'(8, 30)
This is an example of enlargement.
