Answer:
The coordinates of EF are E(5,-4) and F(1,-4).
The line segment EF is in QIV
Step-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
