A triangle has corners at $(4, 3 )$ , ( 7, -8) $, and$ (6, -2 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:10:42

New centroid is $(17/3,7/3)$

The centroid of the triangle with corners at $(4,3)$ , $(7,-8)$ and $(6, -2 )$ is

$((4+7+6)/3,(3+(-8)+(-2))/3)$ or $(17/3,-7/3)$

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 $(17/3,7/3)$

A triangle has corners at (4, 3 )(4, 3 ), ( 7, -8), and , and (6, -2 )#. If the triangle is reflected across the x-axis, what will its new centroid be?