Construct line segments whose lengths are:

(i) 4.8 cm
(ii) 12 cm 5 mm
(iii) 7.6 cm

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Solution

(i) Draw a line l on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point is at 4.8 cm mark on the ruler.
Now, take the compass to l such that its metal point is on point A.
Mark a small mark at B on l corresponding to the pencil point of the compass.
AB is the required line segment of 4.8 cm.

(ii) Draw a line l on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point gets placed at the point which is 5 small points from the mark of 12 cm to 13 cm of the ruler.
Now, take the compass to l such that its metal point is on A.
Mark a small mark at B on l corresponding to the pencil point of the compass.
AB is the required line segment of 12 cm 5 mm.

(iii) Draw a line l on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point gets placed at the point which is 6 small points from the mark of 7 cm to 8 cm of the ruler.
Take the compass to l such that its metal point is on A.
Mark a small mark at B on the line l corresponding to the pencil point of the compass.
AB is the required segment of 7.6 cm.

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Similar questions

Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts. Give the justification of the construction.

Q. Draw a line segment of length

7.6 c m

and divide it in the ratio

5 : 8

Q. 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.

Steps for constructing a line segment whose length is equal to the difference of the lengths of the two given line segments are:

(i) Now draw a line L.

(ii) Take two line segments AB and CD.

(iii) With P as a centre cut a length PZ equal to AB.

(iv) SZ is the required line Segment.

(v) Mark point P on the line L.

(vi) Now from P cut a length PS equal to CD.

Steps for constructing a line segment whose length is equal to the sum of the lengths of the two given line segments are:

(i) Draw two line segments AB and CD using a ruler.

(ii) Now take a line L.

(iii) PM is the required Line segment.

(iv) Using the compass a cut a line PQ equal to AB on line L.

(v) Now from Q cut a length QM equal to CD.

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Construct line segments whose lengths are: (i) 4.8 cm (ii) 12 cm 5 mm (iii) 7.6 cm

Construct line segments whose lengths are:

(i) 4.8 cm
(ii) 12 cm 5 mm
(iii) 7.6 cm