Question

9 multiple choice 1 point △ abc has been rotated ______ counter - clockwise around the origin. 90 degrees 360 degrees 270 degrees 180 degrees

Explanation:

Step1: Recall rotation rules

A 90 - degree counter - clockwise rotation of a point $(x,y)$ around the origin gives $(-y,x)$. A 180 - degree counter - clockwise rotation gives $(-x,-y)$. A 270 - degree counter - clockwise rotation gives $(y, - x)$ and a 360 - degree rotation gives $(x,y)$.

Step2: Analyze the triangle

By observing the orientation of $\triangle ABC$ and its rotated image, we can see that the vertices of the original triangle and the rotated triangle have coordinates that follow the rule of a 180 - degree counter - clockwise rotation around the origin.

Answer:

180 degrees