A triangle has corners at #(3, 2 )#, ( 5, 7)#, and #( 2, -5)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T08:54:33

New centroid is #(10/3,-4/3)#

The centroid of the triangle with corners at #(3,2)#, #(5,7)# and #(2, -5 )# is

#((3+5+2)/3,(2+7+(-5))/3)# or #(10/3,4/3)#

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 #(10/3,-4/3)#