A triangle has corners at #(8, 5 )#, ( 2, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2016-12-01T19:03:34

#"the new centroid is : " D'(5.67,0.33)#

#"1- draw the triangle A(8,5),B(2,-2),C(7,-4)and find its centroid"#

#D(x,y)" represents centroid of the triangle ABC"#

#D((8+2+7)/3,(5-2-4)/3)#

enter image source here

#D(17/3,-1/3)#

#"2- reflect the points A,B,C and D by x-axis"#

#A(8,5)rArr A'(8,-5)#

#B(2,-2)rArr B'(2,2)#

#C(7,-4)rArr C'(7,4)#

enter image source here

#D(5,67,-0.33)rArr D'(5.67,0.33)#