A triangle has corners at $(6, 7 )$ , ( 2, -4) $, and$ (9, -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...

1955 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-11T09:52:27

New centroid is $(17/3,-2/3)$

The centroid of the triangle with corners at $(6,7)$ , $( 2,-4)$ and $(9, -1 )$ is

$((6+2+9)/3,(7+(-4)+(-1))/3)$ or $(17/3,2/3)$

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 $(17/3,-2/3)$

A triangle has corners at (6, 7 )(6, 7 ), ( 2, -4), and , and (9, -1 )#. If the triangle is reflected across the x-axis, what will its new centroid be?