Question

2 construct a line perpendicular to line xy through point s.

Explanation:

Step1: Identify the line and point

The given line is \( m \) (let's assume the horizontal line) and point \( S \) lies on it.

Step2: Use a compass

Set the compass width to a suitable length. Place the compass point at \( S \) and draw arcs above and below the line \( m \), intersecting the line at two points, say \( A \) and \( B \).

Step3: Adjust compass width

Increase the compass width (more than half of \( AB \)). Place the compass point at \( A \) and draw an arc above the line. Then place the compass point at \( B \) and draw another arc intersecting the previous arc at point \( P \).

Step4: Draw the perpendicular line

Draw a line through points \( S \) and \( P \). This line \( SP \) is perpendicular to line \( m \) at point \( S \).

Answer:

The perpendicular line is constructed as described above (visually, a vertical line through point \( S \) on the horizontal line \( m \)).