A triangle has corners at #(6, 4 )#, ( 2, -2)#, and #( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-02-03T00:48:50

If you reflect across the x-axis, then the x-coordinates will not change and the y-coordinates will equal #-y#

#(6,4)rarr(6,-4)#
#(2,-2)rarr(2,2)#
#(5,-8)rarr(5,8)#

Coordinates of centroid is [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]

centroid #=[(6+2+5)/3, (-4+2+8)/3)]#

centroid #=(13/3, 2)#

hope that helped