Quadrilateral PQRS has vertices P(2, 10), Q(6, 8), R(6, 3), and K(2, 3).What are the coordinates of S’ after a dilation of quadrilateral PQRS by a factor of 2 centered at the origin?

Accepted Solution

Answer:[tex]S'(4,6)[/tex]Step-by-step explanation:Dilation rules : For a pre-image point [tex](x,y)[/tex] which is dilated by a scalar factor of [tex]k[/tex] about the origin, the corresponding point of the image can be given by [tex](kx,ky)[/tex]Pre-image point [tex](x,y)\rightarrow (kx,ky)[/tex] Image pointGiven points of quadrilateral PQRS.P(2,10)Q(6,8)R(6,3)S(2,3)The quadrilateral is dilated about the origin by a scalar factor of 2.The co-ordinates of point S' after dilation can be given by:[tex]S(2,3)\rightarrow S'((2\times2),(2\times3))[/tex]Thus [tex]S'(4,6)[/tex] (Answer)