Destiny plots nEFG in the coordinate plane. Then Destiny’s teacher asks her to rotate nEFG 908 clockwise around the origin to form its image nE9F9G9. Her original figure and image are shown in the coordinate plane. a. What mistake did Destiny make? b. What are the correct coordinates of the vertices for the image? c. Draw the correct image nE9F9G9 in the coordinate plane. 3 4

Step-by-step explanation:

a). By the rotation of 90° clockwise around the origin image ΔE'F'G' will be in 2nd quadrant while Destiny has plotted in fourth quadrant.

b). Rule to find the coordinates of the image will be,

    (x, y) → (y, -x)

    E(-5, -1) → E'(-1, 5)

    F(-2, -3) → F'(-3, 2)

    G(-4, -4) → G'(-4, 4)

c). Now we can plot these points on the graph as shown in the attached picture.