Draw a line l and take a point P on it. Through P, draw a line segment perpendicular to l. Now draw a perpendicular to at Q (use ruler and compass).

Question

KnowledgeBoat · Accepted Answer

Steps: 1. Draw a line l and mark a point P on it. 2. With P as centre and any suitable radius, draw an arc to cut the line l at points C and D. 3. With C and D as centres, draw two arcs of equal radius cutting each other at point Q. 4. Join P and Q. Then is the required line segment perpendicular to l at point P. 5. Produce PQ beyond Q to form a line PQ'. 6. With Q as centre and any suitable radius, draw an arc to cut the line PQ' at points E and F. 7. With E and F as centres, draw two arcs of equal radius on both side cutting each other at point R and S. 8. Draw a line passing through points S,Q and R. Hence, RS is the required perpendicular to PQ at point Q.

Mathematics

Draw a line l and take a point P on it. Through P, draw a line segment perpendicular to l. Now draw a perpendicular to at Q (use ruler and compass).

Constructions

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