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.

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