A triangle has corners at #(6, 7 )#, ( 2, -4)#, and #(9, -1 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-03-11T09:52:27

New centroid is #(17/3,-2/3)#

The centroid of the triangle with corners at #(6,7)#, #( 2,-4)# and #(9, -1 )# is

#((6+2+9)/3,(7+(-4)+(-1))/3)# or #(17/3,2/3)#

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 #(17/3,-2/3)#