Question

1. triangle efg has vertices e(0, -1), f(4, 1), and g(4, -3). graph the figure and its image after a clockwise rotation of 270° about the origin. then write the coordinates of polygon efg.

Explanation:

Step1: Recall rotation rule

A clock - wise rotation of 270° about the origin has the rule $(x,y)\to(y, - x)$.

Step2: Apply rule to point E

For point $E(0,-1)$, substituting $x = 0$ and $y=-1$ into the rule $(x,y)\to(y, - x)$, we get $E'( - 1,0)$.

Step3: Apply rule to point F

For point $F(4,1)$, substituting $x = 4$ and $y = 1$ into the rule $(x,y)\to(y, - x)$, we get $F'(1,-4)$.

Step4: Apply rule to point G

For point $G(4,-3)$, substituting $x = 4$ and $y=-3$ into the rule $(x,y)\to(y, - x)$, we get $G'(-3,-4)$.

Answer:

$E'(-1,0)$, $F'(1,-4)$, $G'(-3,-4)$