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Parallel Lines

Tell which of...

Question

Tell which of the following statements are true (T) and which are false (F).

(i) The intersection of two segments may be a segment.
(ii) Two segments may intersect at a point which is not any end-point of either segments containing it.
(iii) Every ray is a segment.
(iv) Every segment is a ray.

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Solution

(i) False
Explanation: Two line segments can intersect maximum at one point and one point can not make a line segment.

(ii) True
Explanation: If two line segments intersect, then point of intersection will not be any of the end points.

(iii) True
Explanation: A portion of line that starts at a point and has no end point is called a ray, whereas aline segment has both its end points fixed. So every ray is a segment.

(iv) False
Both ends points of a line segment are fixed but ray has only one end fixed. Thus, a segment can never be a ray.

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Similar questions

Q. Write the turth value (T/F) of each of the following statements:

(i) Two lines intersect in a point.

(ii) Two lines may intersect in two points.

(iii) A segment has no length.

(iv) Two distinct points always determine a line.

(v) Every ray has a finite length.

(vi) A ray has one end-point only.

(vii) A segment has one end-point only.

(viii) The ray AB is same as ray BA.

(ix) Only a single line may pass through a given point.

(x) Two lines are coincident if they have only one point in common.

Q. Match the following statements:

Column A		Column B
i	Line segment has	a	at a point
ii	Two segments may intersect	b	if they have equal lengths
iii	Two segments are congruent	c	two end-point
iv	Line segment is	d	portion of a line

Q. Write 'T' for true and 'F' for false in case of each of the following statements:
(i) Every point has a size.
(ii) A line segment has no length.
(iii) Every ray has a finite length.
(iv) The ray

\vec{A B}

is the same as the ray

\vec{B A}

.
(v) The line segment

\bar{A B}

is the same as the line segment

\bar{B A}

.
(vi) The line

\overset{\leftrightarrow}{A B}

is the same as the line

\overset{\leftrightarrow}{B A}

.
(vii) Two points A and B in a plane determine a unique line segment.
(viii) Two intersecting lines intersect at a point.
(ix) Two intersecting planes intersect at a point.
(x) If points A, B, C are collinear and points C, D, E are collineaer then the pints A,B, C, D, E are collinear.
(xi) One and only one ray can be drawn with a given end point.
(xii) One and only one line can be drawn to pass through two given points.
(xiii) An unlimited number of lines can be drawn to pass through a given point.

Q. State which of the following statements are true (T) or which are false (F):

(i) If two lines in the same plane do not interest, then they much be parallel.
(ii) Distance between two parallel lines is not same every where.
(iii) If m ⊥ i, n ⊥ i and m ≠ n, then m ∥ n.
(iv) Two non-intersection coplanar rays are parallel.
(v) If ray AB ∥ line , then line segment AB ∥ m.
(vi) If line AB ∥ line , then line segment AB ∥ m.
(vii) No two parallel segments intersect.
(viii) Every pair of lines is a pair of coplanar lines.
(ix) Two lines perpendicular to the same line are parallel.
(x) A line perpendicular to one of two parallel lines is perpendicular to the other.

In figure name the following :

(i) Five line segments

(ii) Five rays

(iii) Four collinear points

(iv) Two pairs of non-intersecting line segments

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