Question

4
rotate
270°
counter-
clockwise
about the
origin
c’ (2, 3)
pink
9
c’ (-2, -3)
dark blue
c’ (3, -2)
brown

Explanation:

Step1: Find original coordinates of C

From the graph, point C is at (-3, 2).

Step2: Apply 270° counterclockwise rotation rule

The rule for rotating a point \((x, y)\) 270° counterclockwise about the origin is \((x, y) \to (y, -x)\).

Step3: Calculate rotated coordinates of C

Substitute \(x = -3\) and \(y = 2\) into the rule: \(C' = (2, -(-3)) = (2, 3)\).

Answer:

C' (2, 3) PINK