Question

we do: example if a line intersects a segment at its midpoint, then the line is perpendicular to the segment. draw a diagram to represent the counterexample.

Explanation:

Step1: Draw a segment

Draw a straight - line segment \(AB\).

Step2: Mark the mid - point

Mark the mid - point \(M\) of segment \(AB\).

Step3: Draw a non - perpendicular line

Draw a line \(l\) that passes through \(M\) but is not perpendicular to \(AB\).

Answer:

A diagram with a line segment \(AB\), its mid - point \(M\), and a line \(l\) passing through \(M\) and not perpendicular to \(AB\).