Question

Draw line A B.Take point M anywhere outside the line. Using a compass and ruler, draw a line M N perpendicular to line A B .

Answer 1

Draw line A B.Take point M anywhere outside the line. Using a compass and ruler, draw a line M N perpendicular to line A B .

Steps of construction:

1. Draw a line AB with known measure.

2. From point A draw an arc with a scale of more than half the measure of line AB above the line.

3. From point B draw an arc with a scale of more than half the measure of line AB above the line.

4. The point where the arcs intersect mark it as M.

5. From point A draw an arc with a scale of more than half the measure of line AB below the line.

6. From point B draw an arc with a scale of more than half the measure of line AB below the line.

7. The point where the arcs intersect mark it as N.

8. Join the points M and N.

9. Hence the line MN perpendicular to the line AB.