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?

1 Answer
Leland Adriano Alejandro
Feb 20, 2016

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)#.

have a nice day !

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