Question

Quadrilateral STAY is dilated to quadrilateral WOKE. If S is located at (6, 3) ) and W is located at (3, 3/2) , which rule represents the dilation ?

Answer 1

Answer:

S(x, y) → W($\frac{1}{2}x,\frac{1}{2}y$)

Step-by-step explanation:

Quadrilateral STAY has been dilated to quadrilateral WOKE.

Coordinates of the S are (6, 3) and after dilation coordinates of the point W are (3, $\frac{3}{2}$).

Scale factor for dilation = $\frac{\text{Coordinates of image}}{\text{Coordinates of actual}}$

                                       = $\frac{3}{6}$

                                       = $\frac{1}{2}$

So quadrilateral STAY has been dilated by a scale factor of $\frac{1}{2}$ to form WOKE.

Therefore, rule for the dilation will be,

S(x, y) → W($\frac{1}{2}x,\frac{1}{2}y$)