Question

what was the black trapezoid rotated to become the blue? 90° clockwise around the origin 90° counter - clockwise around the origin 180° around the origin rewatch

Explanation:

Step1: Recall rotation rules

A 90 - degree clockwise rotation of a point $(x,y)$ around the origin gives $(y, - x)$. A 90 - degree counter - clockwise rotation of a point $(x,y)$ around the origin gives $(-y,x)$. A 180 - degree rotation of a point $(x,y)$ around the origin gives $(-x,-y)$.

Step2: Analyze trapezoid orientation

By observing the orientation of the black and blue trapezoids, we can see that the vertices of the black trapezoid have changed in a way that is consistent with a 180 - degree rotation around the origin.

Answer:

180° around the origin