Construction of Line Segment

Construction of line segment is a drawing using ruler and compass. These are geometrical tools.

In construction of line segment, the result is being verified using scale.It is used in building plan,roads etc.
Draw a line segment of length 3.9 cm using a ruler.

Solution :

Step 1: Draw a line l. Mark a point on the line l. Step 2: Place the compasses pointer on the zero mark of the ruler. Open it to place the pencil point upto 3.9 cm.

Step 3: Taking caution that the opening of the compasses has not changed, place the pointer on A and swing an arc to cut l at B.

Step 4: segment AB is a line segment of required length. _________________________________________________________________
Construct a copy of a given segment.

Step 1: Draw line segment CD of any length. Step 2: Fix the compasses pointer on C and the pencil end on D. Now this opening of the compasses gives the length of segment CD.

Step 3 : Draw a line l. Mark a point A on the line l. Without changing the compasses setting, place the pointer on A.
Step 4 : Cut an arc that cuts l at a point B. Now, AB is a copy of CD. _________________________________________________________________
Practice Problems

1) Construct segment
AB of length 7.9 cm. From this, cut off AC of length 3.6 cm. Measure BC .

2) Draw any line segment
CD . Without measuring CD , construct a copy of CD .

3) Construct two segments of lengths 4.3 cm and 3.2 cm. construct a segment whose length is equal to the sum of the lengths of these segments.

Geometrical Constructions

Basic Geometric Constructions
Construction of Line Segment
Bisecting a Line Segment
Constructing Angles
Bisecting Angles
Constructing Parallel Lines
Construction of Triangle (SSS)
SAS Triangle Construction
ASA Triangle Construction
HL Triangle Construction (Rhs -construction)