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° (counter - clockwise) rotation about the origin. enter the coordinate of e. (1 point)

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$(5,3)$, using the rule $(x,y)\to(-y,x)$, we substitute $x = 5$ and $y = 3$. So, $E'$ has coordinates $(-3,5)$.

Answer:

$(-3,5)$