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)#