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Euclidean Geometry

A line segmen...

Question

A line segment has two points showing its limits. They are called ____________. [1 Mark]

(A) origins
(B) endpoints
(C) arrow heads
(D) infinite points

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Solution

A line segment has two points showing its limits. They are called endpoints. [1 Mark]

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Q. Fill in the blanks:

(i) A part of a line with two end-points is called is a........
(ii) segment AB is .......segment BA.
(iii) The length of a line segment is the ........distance between two end points.
(iv) Two segments are concurrent only if they have.......
(v) Two segments of the same length are said to be.......

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. A point between the endpoints of a line segment can divide it internally.

Statement 1: Two rays originating from two different points will trace a line if they head towards each other.

Statement 2: Two rays originating from a single point will trace a line if they travel in opposite directions.

A line segment joining any two points on a circle is called its diameter.

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