Question

What rotation centered about the origin maps (4, −7) to (7, 4) ?

90° counterclockwise

180° counterclockwise

270° counterclockwise

Answer 1

Option A

Explanation:

90° counterclockwise rotation about origin rule is

• (x,y)=(-y,x)

So here

• (4,-7)

Rotate it

• (-(-7),4)
• (7,4)

Option A is correct

Answer 2

• A) 90° counterclockwise

Explanation:

Preimage (4, - 7) and image (7, 4).

Rule applied:

• (x, y) → (-y, x), this is a 90° counterclockwise rotation

Correct choice is A