A line segment has endpoints at #(3 ,7 )# and #(5 ,9)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #2 #, and reflected about the y-axis, what will the line segment's new endpoints be?

1 Answer
Leland Adriano Alejandro
Mar 13, 2016

New endpoints are #(9, 7)# and #(7, 5)#

Explanation:

After rotating about the origin by #pi/2#, the endpoints become
#(-9, 5)# and #(-7, 3)#.

After translating vertically by 2, the endpoints become
#(-9, 7)# and #(-7, 5)#.

Aftre reflecting about the y-axis, the final endpoints are
#(9, 7)# and #(7, 5)#

God bless....I hope the explanation is useful.

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