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
![= (\frac{7}{4}\times -3, \frac{7}{4}\times -2)\\\\=(\frac{-21}{4} , \frac{-14}{4})](https://tex.z-dn.net/?f=%3D%20%28%5Cfrac%7B7%7D%7B4%7D%5Ctimes%20-3%2C%20%5Cfrac%7B7%7D%7B4%7D%5Ctimes%20-2%29%5C%5C%5C%5C%3D%28%5Cfrac%7B-21%7D%7B4%7D%20%2C%20%5Cfrac%7B-14%7D%7B4%7D%29)
= (-5.25, -3.5)