A triangle has corners at #(6, 7 )#, #( 5, -2)#, and #( 7, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-05-25T09:03:34

New centroid is #(6,-4/3)#

The centroid of the triangle with corners at #(6,7)#, #(5,-2)# and #(7, -1 )# is

#((6+5+7)/3,(7+(-2)+(-1))/3)# or #(6,4/3)#

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 #(6,-4/3)#