A triangle has corners at #(2, 5 )#, ( 4, -2)#, and #( 1, -9 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-03-11T12:05:40

The new centroid #(7/3, 2)#

Let us compute the centroid

#barx=(2+4+1)/3=7/3#

#bary=(5-2-9)/3=-2#

If the figure is reflected across the x-axis, then only the ordinate will change in sign. That is, -2 becomes 2.

The new centroid #(7/3, 2)#

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