Question

1. if you rotate a figure 90 degrees counterclockwise, then reflect it over the y - axis, where does (1, 2) map to? (-2, 1) (2, -1) (2, 1) (-1, -2)

Explanation:

Step1: Apply rotation formula

The formula for a \(90^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(-y,x)\). For the point \((1,2)\), after rotation, we get \((-2,1)\).

Step2: Apply reflection formula

The formula for reflection over the \(y\) - axis is \((x,y)\to(-x,y)\). For the point \((-2,1)\) after reflection over the \(y\) - axis, we get \((2,1)\)

Answer:

\((2,1)\)