A triangle has corners at #(3, 5 )#, ( 6, 2)#, and #( 4, 3)#. If the triangle is reflected across the x-axis, what will its new centroid be?
1 Answer
Apr 22, 2018
Explanation:
#"given the coordinates of the vertices of a triangle"#
#(x_1,y_1),(x_2,y_2),(x_3,y_3)#
#"then the coordinates of the centroid are"#
#•color(white)(x)[1/3(x_1+x_2+x_3),1/3(y_1+y_2+y_3)]#
#"here "(x_1,y_1)=(3,5),(x_2,y_2)=(6,2),(x_3,y_3)=(4,3)#
#"hence coordinates of centroid are"#
#[1/3(3+6+4),1/3(5+2+3)]=(13/3,10/3)#
#"under a reflection in the x-axis"#
#• " a point "(x,y)to(x,-y)#
#rArr(13/3,10/3)to(13/3,-10/3)larrcolor(red)"new centroid"#
