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. 14. a(1,0), b(4,2), and c(3,5) 90 degrees clockwise a ( , ) b ( , ) c ( , )

Explanation:

Step1: Recall rotation rule

For a 90 - degree clockwise rotation about the origin, the rule is (x,y)→(y, - x).

Step2: Apply rule to point A

For A(1,0), x = 1, y = 0. Using the rule (y, - x), we get A'(0, - 1).

Step3: Apply rule to point B

For B(4,2), x = 4, y = 2. Using the rule (y, - x), we get B'(2, - 4).

Step4: Apply rule to point C

For C(3,5), x = 3, y = 5. Using the rule (y, - x), we get C'(5, - 3).

Answer:

A'. (0, - 1)
B'. (2, - 4)
C'. (5, - 3)