**Construction Of A Line Segment**

**To draw a line segment of a given length**

We can draw a line segment of a given length in two ways:

(a) By using a scale

(b) By using a pair of compasses

**Construction:** Draw a line segment of length 5.5 cm.

**(a) By using a scale **

**Step 1:**Mark a point in your notebook and label it as A.

**Step 2:**Place the scale in such a way that the zero (0) mark on the scale coincides with A.

**Step 3:**How, move the sharp end of the pencil along the edge of the scale till it reaches the point 5.5 cm of the scale,

**Step 4:**Label the second end as B.

AB is the required line segment.

**Read More:**

- Construction of an Equilateral Triangle
- Construction Of Similar Triangle As Per Given Scale Factor
- Construction Of The Bisector Of A Given Angle
- Construction Of Perpendicular Bisector Of A Line Segment
- Construction Of An Angle Using Compass And Ruler

**(b) By using a pair of compasses**

**Steps 1:**Draw a line l and mark a point A on it.

**Step 2:**Open the arms of the compass so that the end points of the two open arms equal to 5.5 cm.

**Step 3:**Without disturbing the opening of the compasses, place its needle at point A and draw an arc to cut the line l at point B.

**Step 4:**AB is the required line segment of length 5.5 cm.

**To draw a line segment equal to a given line segment**

**Construction:** Draw a line segment (AB) equal to PQ.

**Given:** A line segment PQ.

**Step 1:**Draw a line l. Mark a point A on it.

**Step 2:**Take the compass and measure PQ.

**Step 3:**Without disturbing the opening, place the needle of the compass at point A on line l and draw an arc, which cuts the line at point B.

**Step 4:**AB is the required line segment which is equal to the length of PQ, i.e., AB = PQ.

**Construction: **Draw a line segment whose length is the sum of the lengths of two given line segments.

**Given:** Two line segments AB and BC.

Construct a line segment, say AC, such that

AC = AB + BC.

**Step 1:**Draw a line l and mark point A on it.

**Step 2:**Take the compasses and measure AB.

**Step 3:**Without disturbing the opening, place its needle at A and draw an arc cutting line l at B.

**Step 4:**Again adjust the compasses and measure the line segment BC.

**Step 5:**Without disturbing the opening, place the pointer at point B on the line l and draw an arc cutting the line l at C.

**Step 6:**AC is the required line segment whose length is equal to the sum of the lengths of line segments AB and BC, i. e., AC = AB + BC.