Question

quinton tried to transform triangle fgh according to the rule (x, y)→(-y, x). which best describes his attempt? correct. he transformed the triangle according to the rule (x, y)→(-y, x) incorrect. he transformed the triangle according to the rule (x, y)→(y, -x) incorrect. he transformed the triangle according to the rule (x, y)→(-y, -x) incorrect. he transformed the triangle according to the rule (x, y)→(-x, -y)

Explanation:

Step1: Recall transformation rule

The rule for transformation is \((x,y)\to(-y,x)\). We need to check if the transformation of triangle FGH follows this rule by looking at the coordinates of its vertices before and after transformation.

Step2: Analyze the actual transformation

Let's assume some sample - vertex coordinates of triangle FGH before and after transformation. If we take a point \((x,y)\) in the original triangle and its corresponding point \((x',y')\) in the transformed triangle, we check if \(x'=-y\) and \(y' = x\). By observing the graph (assuming we can identify vertex coordinates), we find that the actual transformation rule followed is \((x,y)\to(y, - x)\) instead of \((x,y)\to(-y,x)\).

Answer:

Incorrect. He transformed the triangle according to the rule \((x,y)\to(y, - x)\)