Question

Which of the following statements are true ?

(i) A line segment has no definite length.

(ii) A ray has no end point.

(iii) A line has a definite length.

(iv) A line $\underset{AB}{\leftrightarrow }$ is the same as line $\underset{BA}{\leftrightarrow }$.

(v) A ray $\underset{AB}{\to }$ is the same as ray $\underset{BA}{\to }$.

(vi) Two distinct points always determine a unique line.

(vii) Three lines are concurrent if they have a common point.

(viii) Two distinct lines cannot have more than one point in common.

(ix) Two intersecting lines cannot both be parallel to the same line.

(x) Open half-line is the same thing as ray.

(xi) Two lines may intersect in two points.

(xii) Two lines are parallel only when they have no point in common.

Answer 1

(i) False
(ii) False
(iii) False
(iv) True
(v) False
(vi) True
(vii) True
(viii) True
(ix) True
(x) False
(xi) False
(xii) True