Construction of Line Segment


 
 
Concept Explanation
 

Construction of Line Segment

Construction of Line Segment: To construct a line segment of given length. There can be two situations

Case I : To draw a line segment of a given length.

Steps of Construction:

Step I: To draw a line segment  of any length.
Step II : Take a compass

Step III : Take a scale.

Step IV : Place the pointer edge on the 0 of the scale and the pencil edge at the requitred point.

Step V : Take any point on the line segment as X
Step VI: Place the pointer edge at point X and  mark an arc at line segment with the pencil edge intersecting the line segment at Y. XY is the reguired line segment.

Case II: To draw a line segment equal to a given line segment.

Steps of Construction: We are given a line segment PQ we have to draw a line segment XY equal to the length of PQ.

Step I: To draw a line segment  of any length.
Step II : Take a compass. Place the pointer edge of the point P of the given line segment. Open the compass and place the pencil edge at point Q of the given line segment.
Step III: Take any point on the line segment as X

Step IV: Place the pointer edge at point X and  mark an arc at line segment with the pencil edge intersecting the line segment at Y.

  XY is the reguired line segment.

 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Following are the steps while constructing a perpendicular to line 'l' through a point 'P' not on it. Out of these one of the step is INCORRECT. Select the INCORRECT step.

  • Step 1 : Given a line l and a point P not on it.
  • Step 2 : With P as centre, draw an arc which intersects line l at two points L and M.
  • Step 3 : With any convenient radius and with L and M as centres, construct two arcs that intersect at a point, say B, on the other side.
  • Step 4: Point B and P lie on the same side.
Right Option : C
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Explanation
Question : 2

If we bisect AB = 18 cm, then what will be the length of each part ?

Right Option : A
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Explanation
Question : 3

Instrument in the geometry box having the shape of a triangle is called _________ .

Right Option : D
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Explanation
 
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