Question

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 1

probably

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Explanation:

Answer 2

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Explanation:

The line segment AB has vertices at: A(-4,5) and B(-4,1).

We apply the rule
`(x,y)\to (-x,y)` to reflect AB in the y-axis to obtain CD.

`\implies A(-4,5)\to C(4,5)`

`\implies B(-4,1)\to D(4,1)`

We apply the rule
`(x,y)\to (y,-x)` to rotate CD 90 degrees clockwise about the origin to obtain EF.

`\implies C(4,5)\to E(5,-4)`

`\implies D(4,1)\to F(1,-4)`

The coordinates of EF are E(5,-4) and F(1,-4).

See attachment