Question

A line segment has endpoints at `(3 ,4 )` and `(2 ,5 )`. If the line segment is rotated about the origin by `pi /2`, translated horizontally by `1`, and reflected about the x-axis, what will the line segment's new endpoints be?

Answer 1

The new end points are `(-4, -2)` and `(-3, -3)`

Explanation:

After rotating the segment by `pi/2`, the new location is at the 2nd quadrant with end points `(-5, 2)` and `(-4, 3)`.

Translating it horizontally by 1 will place it at the end points `(-4, 2)` and `(-3, 3)`.

Reflecting it about the x-axis, will place it at the 3rd and final quadrant at the end points `(-4, -2)` and `(-3, -3)`.

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