A triangle has corners at $(6, 4 )$ , ( 2, -2) $, and$ ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?

Question

What equation results when the function $f(x) = 3^(x)$ is reflected in the x-axis and translated...
A triangle has corners at $(7, 1 )$ , ( 3 , 2) $, and$ ( 8 , 5 )#. What will the new...
A triangle has corners at $(2, 1 )$ , ( -4 , 3) $, and$ ( 8 , 5 )#. What will the new...
A triangle has corners at $(2, 1 )$ , ( -4 , 3) $, and$ ( 1 , -2)#. What will the new...
A triangle has corners at $(2, 1 )$ , ( 6 , 1) $, and$ ( 1 , -2)#. What will the new...
A triangle has corners at $(2, -5 )$ , ( 6 , 1) $, and$ ( 1 , -2)#. What will the new...
A triangle has corners at $(2, -5 )$ , ( 6 , 1) $, and$ ( 4 , 3)#. What will the new...
A triangle has corners at $(3, -5 )$ , ( 2 , -1) $, and$ ( 4 , 3)#. What will the new...
A triangle has corners at $(2, -7 )$ , ( 1 , -3) $, and$ ( 4 , 3)#. What will the new...
A triangle has corners at $(4, 6 )$ , ( 1 , -3) $, and$ ( 1 , -4)#. What will the new...

2115 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-03T00:48:50

If you reflect across the x-axis, then the x-coordinates will not change and the y-coordinates will equal $-y$

$(6,4)rarr(6,-4)$
$(2,-2)rarr(2,2)$
$(5,-8)rarr(5,8)$

Coordinates of centroid is [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]

centroid $=[(6+2+5)/3, (-4+2+8)/3)]$

centroid $=(13/3, 2)$

hope that helped

A triangle has corners at (6, 4 )(6, 4 ), ( 2, -2), and , and ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?