A triangle has corners at #(3, 7 )#, ( 5, -5)#, 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...

1533 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-25T09:05:15

New centroid is #(10/3,-1/3)#

The centroid of the triangle with corners at #(3,7)#, #(5,-5)# and #(2, -1 )# is

#((3+5+2)/3,(7+(-5)+(-1))/3)# or #(10/3,1/3)#

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 #(10/3,-1/3)#