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

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Answer 1 · 2016-05-25T09:06:45

New centroid is $(3,-1/3)$

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

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

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 $(3,-1/3)$

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