A triangle with coordinates #(6,4), (2,-1)# and #(-3,5)# is translated 4 units left and rotated 180° about the origin. What are the coordinates of its image?

1 Answer
Jan 28, 2018

#(-2,-4),(2,1)" and "(7,-5)#

Explanation:

#"under a translation "((-4),(0))#

#• " a point "(x,y)to(x-4,y)#

#rArr(6,4)to(2,4),(2,-1)to(-2,-1)#

#"and "(-3,5)to(-7,5)#

#"under a rotation about the origin of "180^@#

#"a point "(x,y)to(-x,-y)#

#rArr(2,4)to(-2,-4),(-2,-1)to(2,1)#

#"and "(-7,5)to(7,-5)#