Construction of a Line-Segment

A line segment is a part of a line which has two endpoints. It has a fixed length so it can be measured using a ruler.

Construction of a line-segment if the length is 5 cm.

To draw a line-segment of a perpendicular length, we need a compass and a ruler.

Step 1: First of all, draw a line l of any length and mark a point named A on it.

Step 2: Measure the length 5 cm by putting the compass on the ruler. Put the pointer on 0 and open the compass till 5 cm on the ruler.

Step 3: Put the pointer at point A on the line and draw an arc of 5 cm which intersects the line at B.

Step 4: Hence, the line segment of 5 cm is \overline {AB} .

Construction of a copy of a given above line segment.

To make a copy of a line-segment, there are three methods: –

  1. Measure the length of the given line-segment using a ruler and draw the line-segment of the same length with the ruler only.
  2. Take a transparent sheet and trace the given line on another part of the paper.
  3. These methods are not error-free. So, we can use a ruler and compass to make an error-free line-segment.

Draw a copy of the line segment \overline {AB} .

Step 1: \overline {AB} is the given line-segment whose length is known.

Step 2: Use the compass and put the pointer on A. Open the compass to place the pencil side on point B. Now, the open compass is of the same length as given \overline {AB} .

Step 3: Draw a new line l and mark a point C on it. Put the pointer on the point C.

Step 4: Using the same radius draw an arc on line l which cuts the line at point D.

Step 5: \overline {CD}  = \overline {AB} .

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