Which of the following statement are true and which are false?
Give reason for your answer.
1. Only one line can pass through a single point.
2. There are an infinite number of lines which pass through two distinct points.
3. A terminated line can be produced indefinitely on both the sides.
4. If two circles are equal, then the radii are equal.
5. In figure, if AB = PQ and PQ = XY, then AB = XY
Which of the following statement are true and which are false?
Give reason for your answer.
1. Only one line can pass through a single point.
2. There are an infinite number of lines which pass through two distinct points.
3. A terminated line can be produced indefinitely on both the sides.
4. If two circles are equal, then the radii are equal.
5. In figure, if AB = PQ and PQ = XY, then AB = XY
1. False, since through a point infinite number of lines may be drawn.
2. False, since one and only one line can pass through two distinct points.
3. True, since a line segment may be produced infinitely on both the sides.
4. True, since two circle will be equal only when their radii are same
5. True, since AB = PQ and PQ = XY, then AB = XY (By transitive property)
1. False, since through a point infinite number of lines may be drawn.
2. False, since one and only one line can pass through two distinct points.
3. True, since a line segment may be produced infinitely on both the sides.
4. True, since two circle will be equal only when their radii are same
5. True, since AB = PQ and PQ = XY, then AB = XY (By transitive property)
