A triangle has corners at (4, 4 ), ( 3, -2), and ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer
Dec 22, 2017

(4,1/3)

Explanation:

"the coordinates of the centroid are the average of the"
"coordinates of the vertices"

"centroid "=(1/3(4+3+5),1/3(4-2-3))

color(white)("centroid ")=(4,-1/3)

"under a reflection in the x-axis"

• " a point "(x,y)to(x,-y)

rArr"new centroid "=(4,1/3)