Postulate3

Q.

Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?

(i) parallel lines (ii) perpendicular lines (iii) line segment

(iv) radius of a circle (v) square

Q. Match the following according to Euclids postulates.

1. two points
2. centre and radius
3. are equal
4. one common point

Q. Prove that an equilateral triangle can be constructed on any given line segment.

Q.

Which of the following is/are Euclids postulates?

1. A straight line may be drawn from any one point to any other point.

2. A circle can be drawn with any centre but a fixed radius.

3. A terminated line cannot be produced indefinitely.

4. All right angles are never equal to one another.

Q. Match the following according to Euclid's postulates.

1. center and radius
2. are equal
3. extends indefinitely

Q. For every line l and for every point P not lying on l, there exists a intersecting line(s) m passing through P and _____ to l.

1. perpendicular
2. parallel
3. intersecting
4. none of the above

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

1. Given any straight line segment, a circle can be drawn having the segment as diameter and any point as the centre.
2. A straight line segment is a one dimensional entity.
3. A straight line segment can be drawn joining any two points.
4. Any straight line segment can be extended indefinitely in a straight line.

Q. Match the following according to Euclid's postulates.

1. are equal
2. center and radius
3. extends indefinitely