Question

quadrilateral hijk is reflected across the x-axis to produce quadrilateral hijk. write the rule for the reflection. (x, y) → (□, □)

Explanation:

Step1: Recall the reflection rule across the x - axis

When a point \((x,y)\) is reflected across the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign.

Step2: Verify with a point

Take point \(H(-3,-2)\). After reflection across the \(x\) - axis, \(H'(-3,2)\). Using the rule \((x,y)\to(x,-y)\), for \(x = - 3\) and \(y=-2\), we get \((-3,-(-2))=(-3,2)\)

Answer:

\((x,y)\to(x,-y)\)