Question

Which of the following is not true about a straight line segment?

• A. A straight line segment can be drawn joining any two points.
• B. Any straight line segment can be extended indefinitely in a straight line.
• C. Given any straight line segment, a circle can be drawn having the segment as diameter and any point as the centre.
• D. A straight line segment is a one dimensional entity.

Answer 1

The correct option is C Given any straight line segment, a circle can be drawn having the segment as diameter and any point as the centre.

Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as the centre is the postulate given by Euclid.
A circle cannot be drawn for any given line segment as its diameter and any point on it as the centre.