A triangle has corners at #(6, 5 )#, ( 3, -6)#, and #(8, -1 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer
Leland Adriano Alejandro
Mar 28, 2016

The new centroid is at #(17/3, 2/3)#

Explanation:

The old centroid is at
#x_c=(x_1+x_2+x_3)/3=(6+3+8)/3=17/3#

#y_c=(y_1+y_2+y_3)/3=(5-6-1)/3=-2/3#

The old centroid is at #(17/3, -2/3)#

Since, we are reflecting the triangle across the x-axis, the abscissa of the centroid will not change. Only the ordinate will change. So the new centroid will be at #(17/3, 2/3)#

enter image source here

God bless...I hope the explanation is useful.

Related questions
See all questions in Reflections
Impact of this question
1980 views around the world
You can reuse this answer
Creative Commons License