Answer:
(-2,-4),(2,1), and (7,-5)
Step-by-step explanation:
The given triangle has coordinates (6,4), (2,-1), and (-3,5).
When we translate 4 units left, the we obtain:
(6,4)------>(6-4,4)=(2,4)
(2,-1)----->(2-4,-1)=(-2,-1)
(-3,5)----->(-3-4,5)=(-7,5)
When the resulting figure is rotated 180° about the origin, the coordinates of the final figure becomes
(2,4)------>(-2,-4)
(-2,-1)----->(2,1)
(-7,5)------->(7,-5)
NB: The mapping for 180° rotation is:
(x,y)----->(-x,-y)