A triangle has corners at $(6, 4)$ $(6, 4 )$ , ( 2, -2) $, and$ $, and$ ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-02-03T00:48:50

If you reflect across the x-axis, then the x-coordinates will not change and the y-coordinates will equal $- y$ $-y$

$(6, 4) \to (6, - 4)$ $(6,4)rarr(6,-4)$
$(2, - 2) \to (2, 2)$ $(2,-2)rarr(2,2)$
$(5, - 8) \to (5, 8)$ $(5,-8)rarr(5,8)$

Coordinates of centroid is [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]

centroid $= [\frac{6 + 2 + 5}{3}, \frac{- 4 + 2 + 8}{3})]$ $=[(6+2+5)/3, (-4+2+8)/3)]$

centroid $= (\frac{13}{3}, 2)$ $=(13/3, 2)$

hope that helped

A triangle has corners at (6, 4 )(6,4)(6, 4 ), ( 2, -2), and ,and, and ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?