A triangle has corners at #(6, 3 )#, ( 8, -7)#, and #(1, -1 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:02:07

New centroid is #(5,5/3)#

The centroid of the triangle with corners at #(6,3)#, #(8,-7)# and #(1, -1 )# is

#((6+8+1)/3,(3+(-7)+(-1))/3)# or #(5,-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 #(5,5/3)#