Answer:
(-5.25, -3.5)
Step-by-step explanation:
As it is mentioned in the question that a pentagon OPQRS is dilated by a scale factor i.e k arise form the origin to develop O'P'Q'R'S'.
As we know that after considering the dilation of any figure from the center by taking a scale factor i.e k, so the new figure coordinates is
= (kx,ky)
where,
(x,y) = coordinates of the mentioned figure
As we can see from the attached figure that the Q coordinates is (-3,-2)
So, the Q' coordinates are (k2,k5) is
[tex]= (\frac{7}{4}\times -3, \frac{7}{4}\times -2)\\\\=(\frac{-21}{4} , \frac{-14}{4})[/tex]
= (-5.25, -3.5)
