Question

1. the coordinate grid shows triangle abc. triangle abc is rotated 270 degrees counterclockwise about the origin to create triangle abc. which rule describes this transformation? (x,y)→(-x,-y) (x,y)→(y,-x) (x,y)→(-y,x)

Explanation:

Step1: Recall rotation rules

The rule for rotating a point \((x, y)\) 270 degrees counterclockwise about the origin is \((x, y) \to (y, -x)\).

Step2: Analyze options

• First option \((x, y) \to (-x, -y)\) is for 180 - degree rotation.
• Second option \((x, y) \to (y, -x)\) matches the 270 - degree counterclockwise rotation rule.
• Third option \((x, y) \to (-y, x)\) is for 90 - degree counterclockwise rotation.

Answer:

B. \((x,y)\to(y, -x)\) (assuming the second option is labeled B, if the original options have labels like A, B, C with the second being B as per the order: first option, second \((x,y)\to(y, -x)\), third \((x,y)\to(-y, x)\))