Question

1. a triangle with vertices (0,0), (2,0), (0,3) is rotated 180° about the origin. what are the new coordinates? rotation 180° a) (0,0), (-2,0), (0,-3) b) (0,0), (2,0), (0,3) c) (0,0), (-2,0), (-3,0) d) (0,0), (0,2), (-3,0)

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° about the origin, the new - point is $(-x,-y)$.

Step2: Apply rule to point $(0,0)$

For the point $(0,0)$, when we apply the rule $(-x,-y)$, we get $(-0,-0)=(0,0)$.

Step3: Apply rule to point $(2,0)$

For the point $(2,0)$, when we apply the rule $(-x,-y)$, we get $(-2,0)$.

Step4: Apply rule to point $(0,3)$

For the point $(0,3)$, when we apply the rule $(-x,-y)$, we get $(0, - 3)$.

Answer:

A. $(0,0),(-2,0),(0,-3)$