A line segment has endpoints at #(8 ,5 )# and #(2 ,3 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 1 #, and reflected about the y-axis, what will the line segment's new endpoints be?

Question

1235 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-18T01:41:04

The new endpoints are #(3, -3)# and #(9, -5)#

After the line segment has been rotated about the (0, 0), the new endpoints are #(-2, -3)# and #(-8, -5)# located at the 3rd quadrant.

After translating it -1 horizontally, the new endpoints become
#(-3, -3)# and #(-9, -5)# still at the 3rd quadrant.

After reflecting it about the y-axis it will appear at the 4th quadrant with endpoints #(3, -3)# and #(9, -5)#

God bless America !