Question

1. the coordinates of the vertices of triangle cde are c(3, -2), d(5, 2), and e(7, 0). the figure is rotated 90° about the origin. what are the vertices of the resulting image, figure cde?

Explanation:

Step1: Recall 90° rotation rule

For a point $(x,y)$ rotated $90^\circ$ counterclockwise about the origin, the new coordinates are $(-y,x)$.

Step2: Rotate point C(3, -2)

Substitute $x=3, y=-2$: $(-(-2), 3) = (2, 3)$

Step3: Rotate point D(5, 2)

Substitute $x=5, y=2$: $(-2, 5)$

Step4: Rotate point E(7, 0)

Substitute $x=7, y=0$: $(-0, 7) = (0, 7)$

Answer:

$C'(2, 3)$, $D'(-2, 5)$, $E'(0, 7)$