Question

graph the figure with the given vertices. then graph the image of the figure after the indicated rotation and find the coordinates of its vertices.

1. a(1,0), b(4,2) and c(3,5)

90 - degree clockwise
a( , )
b( , )
c( , )

Explanation:

Step1: Recall rotation rule for 90 - degree clockwise

For a 90 - degree clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

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

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

Step3: Apply rule to point B(4,2)

For point B(4,2), substituting $x = 4$ and $y = 2$ into the rule $(y,-x)$, we get $B'(2,-4)$.

Step4: Apply rule to point C(3,5)

For point C(3,5), substituting $x = 3$ and $y = 5$ into the rule $(y,-x)$, we get $C'(5,-3)$.

Answer:

A'(0,0)
B'(2,-4)
C'(5,-3)