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

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Answer 1 · 2016-05-25T09:12:39

New centroid is #(10/3,-2)#

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

#((3+3+4)/3,(2+1+3)/3)# or #(10/3,2)#

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,-2)#