Question

the graphs shows a triangle that has been rotated about the origin. the triangle was rotated choose your answer... degrees clockwise about the origin and the algebraic rule is choose your answer_

Explanation:

Step1: Recall rotation rules

For a 90 - degree clock - wise rotation about the origin, the rule is $(x,y)\to(y, - x)$; for a 180 - degree clock - wise rotation, the rule is $(x,y)\to(-x,-y)$; for a 270 - degree clock - wise rotation, the rule is $(x,y)\to(-y,x)$.

Step2: Analyze the graph

By observing the positions of the vertices of the original triangle and the rotated triangle, we can see that if we take a point $(x,y)$ in the original triangle and its corresponding point in the rotated triangle, the transformation follows the rule $(x,y)\to(y, - x)$. This is the rule for a 90 - degree clock - wise rotation.

Answer:

90