A triangle has corners at $(3, 2 )$ , ( 2, 1) $, and$ ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T08:56:00

New centroid is $(10/3,5/3)$

The centroid of the triangle with corners at $(3,2)$ , $(2,1)$ and $(5, -8 )$ is

$((3+2+5)/3,(2+1+(-8))/3)$ or $(10/3,-5/3)$

When triangle is reflected across the x-axis, its centroid too is reflected across the x-axis

and as reflection of a point $(x_1,y_1)$ in x-axis is $(x_1,-y_1)$ ,

New centroid is $(10/3,5/3)$

A triangle has corners at (3, 2 )(3, 2 ), ( 2, 1), and , and ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?