Dilation about the origin
The shape defined by the points QRTW have the following coordinates:
Q(-3,4) R(-2,-1) T(3,1) W(3,5)
We need to find the coordinates of a new shape that is the result of a dilation about the origin with a scale factor of 1/4.
This means each coordinate of QRTW must be multiplied by the scale factor to get the points Q'R'T'W' as follows:
D1/4(-3,4) = Q'(-3/4,4/4) = Q'(-3/4,1)
D1/4(-2,-1) = R'(-2/4,-1/4) = R'(-1/2,-1/4)
D1/4(3,1) = T'(3/4,1/4)
D1/4(3,5) = W'(3/4,5/4)
Thus the coordinates of the dilated shape are:
Q'(-3/4,1) R'(-1/2,-1/4) T'(3/4,1/4) W'(3/4,5/4)