Question

keep going! each coordinate plane below shows a preimage describe each rotation.

Explanation:

Step1: Observe general rotation characteristics

We need to determine the center of rotation, angle and direction by comparing pre - image (MNKL) and image ($M'N'K'L'$).

Step2: Determine the center of rotation

By visual inspection, the center of rotation is the origin $(0,0)$ since the relative distances from the origin to the corresponding points of pre - image and image seem to be the same.

Step3: Determine the angle and direction of rotation

We can take a point, say $K(-3,7)$. Its image $K'(-3, - 3)$. If we consider the rotation rules about the origin, a $180^{\circ}$ rotation of a point $(x,y)$ about the origin gives $(-x,-y)$. Here, for $K(-3,7)$, after $180^{\circ}$ rotation about the origin, we get $-(-3)=3$ and $-7 = - 7$. Also, observing the overall orientation change of the quadrilateral, it is a $180^{\circ}$ rotation. The direction of a $180^{\circ}$ rotation can be either clock - wise or counter - clockwise as they result in the same transformation for a $180^{\circ}$ turn.

Answer:

$180^{\circ}$ rotation about the origin.