A triangle has corners at $(4, 8)$ $(4, 8 )$ , ( 9, -2) $, and$ $, and$ ( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

Question

What equation results when the function $f (x) = 3^{x}$ $f(x) = 3^(x)$ 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...

2030 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-14T20:10:38

$(5, - \frac{5}{3}) .$ $(5,-5/3).$

The centroid of the given triangle is $(\frac{4 + 9 + 2}{3}, \frac{8 - 2 - 1}{3}) = (5, \frac{5}{3}) .$ $((4+9+2)/3, (8-2-1)/3) = (5,5/3).$

Now, a pt. $(a, b)$ $(a,b)$ is reflected in X-axis, its reflection will be the pt. $(a, - b)$ $(a,-b)$ .

Hence, new co-ordinates of the reflected centroid will be $(5, - \frac{5}{3}) .$ $(5,-5/3).$

A triangle has corners at (4,8)(4, 8 ), ( 9, -2),and, and ( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?