A triangle has corners at $(3, 9 )$ , ( 6, -5) $, and$ ( 4, -9 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:00:00

New centroid is $(13/3,5/3)$

The centroid of the triangle with corners at $(3,9)$ , $(6,-5)$ and $(4, -9 )$ is

$((3+6+4)/3,(9+(-5)+(-9))/3)$ or $(13/3,-5/3)$

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 $(13/3,5/3)$

A triangle has corners at (3, 9 )(3, 9 ), ( 6, -5), and , and ( 4, -9 )#. If the triangle is reflected across the x-axis, what will its new centroid be?