Question

the graphs shows a triangle that has been rotated about the origin. the triangle was rotated degrees clockwise about the origin and the algebraic rule is choose your answer... 90 180 270 choose your answer...

Explanation:

Step1: Recall rotation rules

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

Step2: Analyze the triangle's transformation

By observing the original and rotated triangle, we can see that if we take a vertex of the original triangle, say \((x,y)\), and compare its position in the rotated triangle, we find that the transformation follows the rule \((y,-x)\) which is the rule for a 90 - degree clock - wise rotation about the origin.

Answer:

90