Question

Draw a line segment AB of length 8.2 cm. Mark a point M on it such that AM= 5.7cm. Draw a line through M perpendicular to the line segment AB.​

Answer 1

Step-by-step explanation:

Step I: We draw line L and take a point A on it.

Step II: Using a ruler and a compass, we mark a point B, 10 cm from A, on the line L. AB is the required line segment of 10 cm.

Step III: Again, we mark a point P, which is 4 cm from A, in the direction of B.

Step IV: With P as centre, take a radius of 4 cm and construct an arc intersecting the line L at two points A and E.

Step V: With A and E as centres, take a radius of 6 cm and construct two arcs intersecting each other at R.

Step VI: We join PR and extend it. PR is the required line, which is perpendicular to AB

Answer 2

Answer:

Step I: We draw line L and take a point A on it.

Step II: Using a ruler and a compass, we mark a point B, 10 cm from A, on the line L. AB is the required line segment of 10 cm.

Step III: Again, we mark a point P, which is 4 cm from A, in the direction of B.

Step IV: With P as centre, take a radius of 4 cm and construct an arc intersecting the line L at two points A and E.

Step V: With A and E as centres, take a radius of 6 cm and construct two arcs intersecting each other at R.

Step VI: We join PR and extend it. PR is the required line, which is perpendicular to AB.