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Line, Line Segment and Ray

A ray is a pa...

Question

A ray is a part of a line with only one end point.

A

False

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B

True

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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. 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. Fill in the blanks:
(i) A line segment has a .............. length.
(ii) A ray has .............. end point.
(iii) A line has .............. end point.
(iv) A ray has no .............. length.
(v) A line .............. be drawn on a paper.

Q. Which statement is true?
(a) A line segment

A B

, when extended in both directions, is called ray

\underset{A B}{\to}

Ray \underset{A B}{\to} = ray \underset{B A}{\to}

\underset{A B}{\to}

has one end-point A.
(d) Ray

\underset{A B}{\to}

has two end-points A and B.

Q. A ray is a part of a line with only one end point.

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