If the coordinates of a triangle are #(2,2), (2,4)#, and #(5,2)#, what are the new coordinates after a dilation of -1/2?

1 Answer
Aug 14, 2018

New coordinates of the triangle after dilation are

#color(blue)(A’ (-1,-1), B’ (-1,-2), C’ (-5/2, -1)#

Explanation:

Coordinates of the triangle #A (2,2), B (2,4), C (5,2)# dilated around origin by factor (-1/2).

#A’ ((x),(y)) = (-1/2) * ((2),(2)) = ((-1),(-1))#

#B’ ((x),(y)) = (-1/2) * ((2),(4)) = ((-1),(-2))#

#C’ ((x),(y)) = (-1/2) * ((5),(2)) = ((-5/2),(-1))#