Question

quadrilateral abcd is transformed according to the rule (x, y) → (y, -x). which is another way to state the transformation?
ro, 90°
ro, 180°
ro, 270°
ro, 360°

Explanation:

Step1: Recall rotation rules

• Rotation of \(90^{\circ}\) counter - clockwise about the origin \(R_{0,90^{\circ}}\): \((x,y)\to(-y,x)\)
• Rotation of \(180^{\circ}\) about the origin \(R_{0,180^{\circ}}\): \((x,y)\to(-x,-y)\)
• Rotation of \(270^{\circ}\) counter - clockwise about the origin \(R_{0,270^{\circ}}\): \((x,y)\to(y, - x)\)
• Rotation of \(360^{\circ}\) about the origin \(R_{0,360^{\circ}}\): \((x,y)\to(x,y)\)

Answer:

\(R_{0,270^{\circ}}\)