A triangle has corners at $(4, 1 )$ , ( 6, -8) $, and$ (3, -2 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:08:21

New centroid is $(13/3,3)$

The centroid of the triangle with corners at $(4,1)$ , $(6,-8)$ and $(3, -2 )$ is

$((4+6+3)/3,(1+(-8)+(-2))/3)$ or $(13/3,-3)$

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 $(13/3,3)$

A triangle has corners at (4, 1 )(4, 1 ), ( 6, -8), and , and (3, -2 )#. If the triangle is reflected across the x-axis, what will its new centroid be?