Question

1.3.7 check your understanding
the diagram shows the polygons kwsd and kwsd.
polygon kwsd is copied on a piece of patty - paper and is rotated about point t. what rotation will result in polygon kwsd laying on top of polygon kwsd?
clockwise 90
clockwise 180
counterclockwise 90
counterclockwise 180

Explanation:

Step1: Observe the orientation change

By looking at the polygons $KWSD$ and $K'W'S'D'$, we can see that the orientation of the polygon has changed in a way that corresponds to a $90^{\circ}$ counter - clockwise rotation. If we consider a point on polygon $KWSD$ and its corresponding point on $K'W'S'D'$, we can visualize the rotation around point $T$. A clockwise $90^{\circ}$ rotation would move the polygon in the opposite direction. A $180^{\circ}$ rotation (clockwise or counter - clockwise) would flip the polygon in a different way than what is shown.

Answer:

Counterclockwise 90°