Q. 63.7( 3 Votes )

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 is the same as line .

(v) A ray is the same as ray .

(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 be both parallel to the same line.

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

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

(xi) Two lines may intersect in two points.

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

Answer :

(i) False


Because a line segment has two end points with a definite length.



(ii) False


Because a ray has one end point and infinitely extends in one direction.



(iii) False


Because a line has no beginning point or end point therefore a line has not definite length.



(iv) True


Because a line has no beginning point or end point therefore line is the same as line .



(v) False


Because a ray has one end point and infinitely extends in one direction therefore ray is not same as the ray .



In this ray has the end point A.



In this ray has the end point B.


(vi) True


Because a line has no beginning point or end point.



(vii) True


Because the set of lines intersect at the same point called concurrent lines.



Lines l, m, and n are concurrent at the common point P.


(viii) True


Two lines in a plane that do not intersect or touch each other at any point, they are called parallel lines.



(ix) True


Because parallel lines never intersect or cross one another.



(x) False


Because half-line is the set of all points on a line on a given side of a given point of the line while ray is a part of line with one end point and infinitely extends in one direction.


(xi) False


Because two lines intersect at only one point.



Lines l and n intersect at only one point P.


(xii) False


Two lines are said to be parallel when


(a) they never meet


(b) they are coplanar



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