Question

Draw any APQR. Through P, draw a line parallel to QR.​

Answer 1

Step I: Draw a line PQ and take a point R on it.

Step II: With R as centre and a convenient radius construct an arc touching the line PQ at two points A and B.

Step III: With A and B as centres and a radius greater than RA construct two arcs cutting each other at S.

Step IV: Join RS and extend it in both directions to get a line perpendicular to PQ.

Thus, XY is the line required which is perpendicular to PQ and passes through R as shown in the above image.

Answer 2

Answer:

Step I: Draw a line PQ and take a point R on it.

Step II: With R as centre and a convenient radius construct an arc touching the line PQ at two points A and B.

Step III: With A and B as centres and a radius greater than RA construct two arcs cutting each other at S.

Step IV: Join RS and extend it in both directions to get a line perpendicular to PQ.

Thus, XY is the line required which is perpendicular to PQ and passes through R as shown in the above image.

Step-by-step explanation: