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

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

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