Question

for exercises 8 and 9, polygon efgh has vertices e(4, -3), f(2, -4), g(1, -1), and h(5, 0). write the coordinate notation for each rotation given. then write the coordinates of polygon efgh after each rotation. 8. clockwise rotation of 270° about the origin

Explanation:

Step1: Recall rotation rule

A clock - wise rotation of $270^{\circ}$ about the origin has the coordinate notation $(x,y)\to(y, - x)$.

Step2: Apply rule to vertex E

For $E(4,-3)$, using the rule $(x,y)\to(y, - x)$, we get $E'( - 3,-4)$.

Step3: Apply rule to vertex F

For $F(2,-4)$, using the rule $(x,y)\to(y, - x)$, we get $F'( - 4,-2)$.

Step4: Apply rule to vertex G

For $G(1,-1)$, using the rule $(x,y)\to(y, - x)$, we get $G'( - 1,-1)$.

Step5: Apply rule to vertex H

For $H(5,0)$, using the rule $(x,y)\to(y, - x)$, we get $H'(0,-5)$.

Answer:

Coordinate notation: $(x,y)\to(y, - x)$
$E'( - 3,-4)$, $F'( - 4,-2)$, $G'( - 1,-1)$, $H'(0,-5)$