Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the origin to form line segment EF.

Answer:The coordinates of EF are E(5,-4) and F(1,-4).The line segment EF is in QIVStep-by-step explanation:The line segment AB has vertices at: A(-4,5) and B(-4,1).We apply the rule [tex](x,y)\to (-x,y)[/tex] to reflect AB in the y-axis to obtain CD.[tex]\implies A(-4,5)\to C(4,5)[/tex][tex]\implies B(-4,1)\to D(4,1)[/tex]We apply the rule [tex](x,y)\to (y,-x)[/tex] to rotate CD 90 degrees clockwise about the origin to obtain EF.[tex]\implies C(4,5)\to E(5,-4)[/tex][tex]\implies D(4,1)\to F(1,-4)[/tex]The coordinates of EF are E(5,-4) and F(1,-4).See attachment