Question

draw the reflection of the following quadrilateral over the line x.

Explanation:

Step1: Find the distance of each vertex from line \(x\)

For a point \((a,b)\) and the line \(x = 3\), the distance is \(|a - 3|\).

Step2: Reflect each vertex across line \(x\)

If a vertex is at \((a,b)\), its reflection across \(x = 3\) is \((6 - a,b)\).

Step3: Connect the reflected vertices

Draw lines between the reflected vertices to form the reflected quadrilateral.

Answer:

The reflected quadrilateral is drawn by reflecting each vertex across the line \(x = 3\) (using the rule \((a,b)\to(6 - a,b)\)) and then connecting the new vertices.