Question

Construct a line segment PQ with AB = 8 cm. Mark the point O on PQ such
that PO = 3.2 cm. Construct a perpendicular to PQ at O using compass and
ruler.

Answer 1

Hence the required construction.

Steps of construction:

Draw a line segment PQ with a scale of 8 cm.

From point P draw an arc with a scale of 3.2 cm.

A point where line PQ and the arc from point P meet, name it as O.

Place a ruler at the point O, perpendicular to the line PQ.

Draw a line.

Hence the required perpendicular to PQ at O.