QuestionWhat are the coordinates of $R^{\prime}$ for the dilation $D_{(0.5, P)}$ ( $\left.\square P Q R S\right)$ ? ( 3 pts.)
3 $\square$ 4 $\square$ )

Studdy Solution
Calculate the coordinates of $R'$ using the scaled vector.
The coordinates of $R'$ are obtained by adding the scaled vector to the coordinates of $P$:
$$R' = (x_P + \text{Scaled Vector}_x, y_P + \text{Scaled Vector}_y)$$ $$= (-4 + 3, -2 + 2)$$ $$= (-1, 0)$$
The coordinates of $R'$ are:
$$\boxed{(-1, 0)}$$