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

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 $(x,y)\to (-x,y)$ 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