A triangle has corners at #(4, 8 )#, ( 9, -2)#, and #( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-06-14T20:10:38

#(5,-5/3).#

The centroid of the given triangle is #((4+9+2)/3, (8-2-1)/3) = (5,5/3).#

Now, a pt.#(a,b)# is reflected in X-axis, its reflection will be the pt.#(a,-b)#.

Hence, new co-ordinates of the reflected centroid will be #(5,-5/3).#