A triangle has corners at #(4, 4 )#, ( 3, -2)#, and #( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:06:45

New centroid is #(3,-1/3)#

The centroid of the triangle with corners at #(4,4)#, #(3,-2)# and #(2, -1 )# is

#((4+3+2)/3,(4+(-2)+(-1))/3)# or #(3,1/3)#

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 #(3,-1/3)#