A triangle has corners at #(3, 7 )#, ( 5, -5)#, and #( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:05:15

New centroid is #(10/3,-1/3)#

The centroid of the triangle with corners at #(3,7)#, #(5,-5)# and #(2, -1 )# is

#((3+5+2)/3,(7+(-5)+(-1))/3)# or #(10/3,1/3)#

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 #(10/3,-1/3)#