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

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`)