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 ?

Question

asked Nov 18, 2021 134k views

1 Answer

Tim Boddy · Answer 1 · 2021-11-23T02:11:30+0000

Answer:

S(x, y) → W(
(1)/(2)x,(1)/(2)y )

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,
(3)/(2) ).

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

=
(3)/(6)

=
(1)/(2)

So quadrilateral STAY has been dilated by a scale factor of
(1)/(2) to form WOKE.

Therefore, rule for the dilation will be,

S(x, y) → W(
(1)/(2)x,(1)/(2)y )