A triangle has corners at (8, 3 ), ( 5, -8), and (7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
1 Answer
Oct 23, 2016
Explanation:
The first step is to find the coordinates of the centroid,
(x_c,y_c) Given that the vertices of a triangle are
(x_1,y_1),(x_2,y_2),(x_3,y_3) Then.
x_c=1/3(x_1+x_2+x_3)" the average of the x-coordinates" and
y_c=1/3(y_1+y_2+y_3)" the average of the y-coordinates" Here.
(x_1,y_1)=(8,3),(x_2,y_2)=(5,-8), (x_3,y_3)=(7,-4)
rArrx_c=1/3(8+5+7)=20/3 and
y_c=1/3(3-8-4)=-3 coordinates of centroid
=(20/3,-3) Under reflection in the x-axis, a point (x ,y) → (x ,-y)
rArr(20/3,-3)to(20/3,3)
