Answer:
See solution below
Explanation:
The following are the rules for counter clockwise rotation of a point around the origin. Let's assume the coordinates of the original point are A(x, y). The following are results of different degrees of rotation(all counterclockwise) for the new point A'
Original Point A Degree of Rotation Coordinates of A'
A(x, y) 90° A'(-y, x)
A(x, y) 180° A'(-x, -y)
A(x, y) 270° A'(y, -x)
In these questions we are only interested in 270° counterclockwise rotation where the resultant point A' has its original x, y coordinates swapped and x is made negative. A, B represent the originals, A', B' etc the post image coordinates ie the answers
Q1
A (4, 7) →→ A' (7, -4)
B (3, 0) →→ B' (0, -3)
C (-4, -7) →→ C' (-7, 4)
Q3
A (3, 0) →→ A' (0, -3)
B (7, 0) →→ B' (0, -7)
C (3, -5) →→ C' (-5, -3)
D (-2, -5) →→ D' (-5, 2)