A triangle has corners at #(0, 5 )#, ( 1, 2)#, and #(7, 4 )#. If the triangle is reflected across the xaxis, what will its new centroid be?
1 Answer
Jan 16, 2016
Explanation:

You can find the centroid of the triangle before it is reflected, and just reflect that point.

When you reflect a point across the x axis, you change the sign of the ycoordinate and leave the xcoordinate as it is.

You can find the centroid you can use the centroid formula:
#"Centroid (C)"=((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)# (TutorVista.com, 2016) 
#C=((0+1+7)/3,(524)/3)#
 The reflection of that centroid is
#(2 2/3,1/3)#
References
TutorVista.com, 2016. Centroid Formula. [Online]. Available from:
http://formulas.tutorvista.com/math/centroidformula.html. [Accessed: 16th Jan 2016].