Question

trapezoid defg has vertices d(1, 3), e(5, 3), f(7, - 1), and g(1, - 1). imagine the image defg after a 90° (counterclockwise) rotation about the origin. enter the coordinate of e. (1 point) e is located at ( ).

Explanation:

Step1: Recall rotation rule

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

Step2: Identify coordinates of E

The coordinates of point E are $(5,3)$.

Step3: Apply rotation rule

For point E with $x = 5$ and $y = 3$, after rotation, $x'=-y=- 3$ and $y'=x = 5$.

Answer:

$(-3,5)$