A triangle has corners at #(1, 3 )#, ( 8, -4)#, and #(1, -5 )#. 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...

1109 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-20T06:44:38

New centroid will be #(10/3,2)#.

When a point #(x,y)# is reflected across #x#-axis, new point becomes #(x,-y)#.

Hence corners of new triangle will be #(1,-3)#, #(8,4)# and #(1,5)#.

As centroid of a triangle with sides #(x_1,y_1)#, #(x_2,y_2)# and #(x_3,y_3)# is given by #((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)#

New centroid will be #((1+8+1)/3,(-3+4+5)/3)# or #(10/3,2)#.