A triangle has corners at $(1, 2 )$ , ( 5, -9) $, and$ ( 2, -1)#. 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...

2103 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-11T09:55:31

New centroid is $(8/3,8/3)$

The centroid of the triangle with corners at $(1,2)$ , $(5,-9)$ and $(2, -1 )$ is

$((1+5+2)/3,(2+(-9)+(-1))/3)$ or $(8/3,-8/3)$

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

and as reflection of a point $(x_1,y_1)$ in x-axis is $(x_1,-y_1)$ ,

new centroid is $(8/3,8/3)$

A triangle has corners at (1, 2 )(1, 2 ), ( 5, -9), and , and ( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?