Question

1. rotation 180° about the origin

Explanation:

Step1: Identify original coordinates

Original points: $E(0, -2)$, $F(3, 0)$, $G(5, -5)$

Step2: Apply 180° rotation rule

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

• $E'(0, 2)$ (from $-(0), -(-2)$)
• $F'(-3, 0)$ (from $-(3), -(0)$)
• $G'(-5, 5)$ (from $-(5), -(-5)$)

Step3: Plot rotated points

Plot $E'(0,2)$, $F'(-3,0)$, $G'(-5,5)$ and connect them.

Answer:

The coordinates of the rotated triangle are $E'(0, 2)$, $F'(-3, 0)$, $G'(-5, 5)$. When plotted, these form the 180° rotation of $\triangle EFG$ about the origin.