Question

1. rotation: 180° about the origin

Explanation:

Step1: Identify original vertices

Original vertices: $(0,-2)$, $(2,-2)$, $(2,0)$, $(0,0)$

Step2: Apply 180° rotation rule

For a point $(x,y)$, 180° rotation about origin gives $(-x,-y)$.

• $(0,-2) \to (0,2)$
• $(2,-2) \to (-2,2)$
• $(2,0) \to (-2,0)$
• $(0,0) \to (0,0)$

Answer:

The vertices of the rotated figure are $(0,2)$, $(-2,2)$, $(-2,0)$, and $(0,0)$. When plotted, this is a rectangle mirrored across both axes from the original shape.