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guajiro [1.7K]
3 years ago
11

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.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

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

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