Measuring the Line Segment

We will discuss here about measuring the line segment i.e. how to draw and measure a line segment using scale or ruler.

We can measure a line segment by two ways.

(i) With the help of scale or ruler only.

(ii) With the help of a pair of dividers and a scale or ruler.


Measuring a line segment with the help of a scale:

Generally, we measure a line segment with the help of a scale which has marking in centimetres (cm) and inches (in). Mostly we measure the line segments in centimetres. Each centimetre is divided into 10 small equal parts, called millimetres (mm).

1 cm. = 10 mm. and 1 mm. = 1/10 cm.

A line segment has a beginning and an end. The line segment is a part of a line. It has two end points denoted by A and B.

Let us learn how to measure a line segment. We use a scale to measure the line segments. Centimeters and inches are marked along the two edges of the scale.

Let us learn to measure the length of a line segment AB in centimeters.

For measuring the length of a line segment AB, we place in such a way that the end point A of the line segment coincides with 0 mark of the scale.

Measure a Line Segment

We hold the scale properly along the line segment. We read the mark on the scale that coincides with the end point B. Here, we see that the 7th centimetre mark on the scale that coincides with the end point B. Here, we see that the 7th centimetre mark coincides with the end point B. Thus, the length of the line segment AB is 7 cm.

We should take some precautions while measuring a line segment. Sometimes, because of broken corner 0 mark of the scale does not appear. If it is so, we can place any other point centimetre mark of the scale on the end point A and measure the line segment AB by counting from that centimetre mark.

Step I: Place the edge of scale on the line AB such that its '0' mark is at point 'A'.

Step II: Read the scale at the point 'B'. Here the mark on the scale is at 8 cm.

AB is a line segment. So, the length of line segment AB is 7 cm.

 

Measuring a line segment with the help of a divider and a scale:

We can use a divider along with a scale to measure a line segment. We open the pair of divider carefully and place the pointed ends of the pair of divider on the both ends of the line segment as shown here. We lift divider very carefully without disturbing its arms.

Now we place its one end on the zero mark of the scale and let its other end rest at a certain mark of the scale as shown here.

Measuring the Line Segment

 Finally, then we read the length.


Questions and Answers on Measuring the Line Segment:

1. Measure the following line segments.

(i)

Measure the Line Segment MN

= _____ cm

(ii)

Measure the Line Segment AB

= _____ cm

(iii)

Measure the Line Segment CD

= _____ cm

(iv)

Measure the Line Segment PQ

= _____ cm


2. Measure all line segments in the following figures.

(i)

Measure all the Line Segments of the Square



PQ = _____ cm

QR = _____ cm

RS = _____ cm

SP = _____ cm

PR = _____ cm

QS = _____ cm



(ii)

Measure all the Line Segments of the Triangle



PQ = _____ cm

QR = _____ cm

RS = _____ cm

SP = _____ cm

PR = _____ cm

QS = _____ cm


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