Answer:
Δ ABC is rotated counter clock wise, 180° about the origin.
Step-by-step explanation:
Triangle ABC has been transformed to Δ A'B'C'
A is at ( 3,1 ), B is at ( 1,8 ) and C is at (7,2)
Now we have to tell which transformation has happened to Δ ABC to form Δ A'B'C'.
Now we take one point A to find the rule by A has been transformed to A'.
A = ( 3,1 ) ( 1st quadrant )
A' = ( -3,-1 ) ( 3rd quadrant )
If we join A by origin and A' by origin O (0,0) then we can easily find that line A O has been rotated 180° about origin O to form a new line O A'
Therefore, answer will be
Δ ABC is rotated counter clock wise, 180° about the origin.
