Question

1. examine the figure below, rotate the preimage 180° about the origin, be sure to correctly label all points.

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 180° about the origin is $(x,y)\to(-x,-y)$.

Step2: Rotate point A

Point A has coordinates $(0, - 1)$. Applying the rule, we get $(0,-1)\to(0,1)$.

Step3: Rotate point B

Point B has coordinates $(-3,-2)$. Applying the rule, we get $(-3,-2)\to(3,2)$.

Step4: Rotate point C

Point C has coordinates $(-2,-4)$. Applying the rule, we get $(-2,-4)\to(2,4)$.

Answer:

The new - coordinates of A are $(0,1)$, of B are $(3,2)$ and of C are $(2,4)$.