A triangle has corners at $(3, 2)$ $(3, 2 )$ , ( 2, 1) $, and$ $, and$ ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?

Question

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

2026 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-25T08:56:00

New centroid is $(\frac{10}{3}, \frac{5}{3})$ $(10/3,5/3)$

The centroid of the triangle with corners at $(3, 2)$ $(3,2)$ , $(2, 1)$ $(2,1)$ and $(5, - 8)$ $(5, -8 )$ is

$(\frac{3 + 2 + 5}{3}, \frac{2 + 1 + (- 8)}{3})$ $((3+2+5)/3,(2+1+(-8))/3)$ or $(\frac{10}{3}, - \frac{5}{3})$ $(10/3,-5/3)$

When triangle is reflected across the x-axis, its centroid too is reflected across the x-axis

and as reflection of a point $(x_{1}, y_{1})$ $(x_1,y_1)$ in x-axis is $(x_{1}, - y_{1})$ $(x_1,-y_1)$ ,

New centroid is $(\frac{10}{3}, \frac{5}{3})$ $(10/3,5/3)$

A triangle has corners at (3,2)(3, 2 ), ( 2, 1),and, and ( 5, -8)#. If the triangle is reflected across the x-axis, what will its new centroid be?