What will be the coordinates of vertex A of the image?

Answer:(1.0)Step-by-step explanation:we know thatThe scale factor of the dilation is 0.25 ----> given problemThe coordinates of point A(-5,-3) and F(3,1)step 1Find the x-coordinate of point A'The horizontal distance between A and F is equal toAFx=3-(-5)=8 The horizontal distance after dilation between A'F is equal toA'F=0.25*8=2so the x-coordinate of vertex A' is equal to the x-coordinate of F minus the horizontal distance after dilation A'FA'x=3-2=1step 2Find the y-coordinate of point A'The vertical distance between A and F is equal toAFy=1-(-3)=4 The vertical distance after dilation between A'F is equal toA'Fy=0.25*4=1so the y-coordinate of vertex A' is equal to the y-coordinate of F minus the vertical distance after dilation A'FA'y=1-1=0thereforeThe coordinates of vertex A of the image is (1.0)