Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A terminated line can be produced indefinitely on both the sides.
(iv) If two circles are equal, then their radii are equal.
(v) In figures, if AB=PQ and PQ=XY, then AB=XY.

i)False, infinite number of lines can pass through a single point.


ii)False, only one straight line can pass through two distinct points. Say points are P and Q.


iii)True, a terminated line can be produced indefinitely on both the sides.


iv)True, since, radii of congruent (equal) circles are always equal i.e., if you superimpose the region bounded by one circle on the other, then they coincide.

v)True, if AB = PQ and PQ = XY i.e. XY = PQ
Then, AB = XY.