Question

vertices of each figure after the given transformation. 2) rotation 180° about the origin 4) rotation 180° about the origin

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point E

For point E with coordinates $(0,2)$, applying the rule: $x = 0,y = 2$, new coordinates are $(0\times(- 1),2\times(-1))=(0, - 2)$.

Step3: Apply rule to point F

For point F with coordinates $(3,5)$, applying the rule: $x = 3,y = 5$, new coordinates are $(-3,-5)$.

Step4: Apply rule to point G

For point G with coordinates $(3,2)$, applying the rule: $x = 3,y = 2$, new coordinates are $(-3,-2)$.

Answer:

The new coordinates of E are $(0,-2)$, of F are $(-3,-5)$ and of G are $(-3,-2)$.