Question

reflection across y=x e(1,-2)
e(1,-2)
e(-2,1)
e(1,-4)
e(1,2)

Explanation:

Step1: Recall reflection rule

When reflecting a point \((x,y)\) across the line \(y = x\), the transformation rule is \((x,y)\to(y,x)\).

Step2: Apply the rule

Given the point \(E(1,-2)\), using the rule \((x,y)\to(y,x)\), we substitute \(x = 1\) and \(y=-2\). So the new \(x\)-coordinate is \(-2\) and the new \(y\)-coordinate is \(1\).

Answer:

\(E'(-2,1)\)