Answer:
D.A'(4,16),B'(4,13),C'(8,16)
Step-by-step explanation:
We are given that triangle ABC has vertices at A(4,2),B(1,2) and C(4,6) in the coordinate plane.
First we change the given points
The rule of transformation of 270 degree rotation counterclockwise about origin is given by
After rotation 270 degrees about origin
Then,
Apply the rule
Hence, the coordinates of triangle ABC after 270 degrees counterclockwise rotation around (-5,-7) is given by
After rotation y=0
The rule of transformation about y=0 is given by
Apply this rule then we get
Hence, option D is true.