Question

A line segment has endpoints at `(7 ,6 )` and `(5 ,1 )`. If the line segment is rotated about the origin by `pi`, translated horizontally by `- 4`, and reflected about the y-axis, what will the line segment's new endpoints be?

Answer 1

The new endpoints are `(11, -6)` and `(9, -1)`

Explanation:

After the line segment has been rotated about the origin by `pi`, the endpoints become `(-7, -6)` and `(-5, -1)`. After translating horizontally by -4, the endpoints become `(-9, -1)` and `(-11, -16)`. After reflecting the line segment about the y-axis, the final endpoints are `(9, -1)` and `(11, -6)`

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