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)#