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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 ?

User Prithis
by
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1 Answer

4 votes

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)

User Tim Boddy
by
7.3k points