Question

1. rotation 90° counterclockwise about the origin

Explanation:

Step1: Identify original coordinates

Original points: $U(0,0)$, $W(3,-1)$, $V(3,-4)$

Step2: Apply 90° counterclockwise rotation rule

The rule for a 90° counterclockwise rotation about the origin is $(x,y) \to (-y,x)$.

• For $U(0,0)$: $(-0,0) = (0,0)$
• For $W(3,-1)$: $(-(-1),3) = (1,3)$
• For $V(3,-4)$: $(-(-4),3) = (4,3)$

Answer:

The coordinates of the rotated figure are:
$U'(0,0)$, $W'(1,3)$, $V'(4,3)$