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)#

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

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