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Exercise 14.3 - Chapter 14 - Practical geometry - Ncert Solutions class 6 - Maths

Updated On 26-08-2025 By Lithanya


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Question 1:

Draw any line segmenthttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif . Without measuringhttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif , construct a copy ofhttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif .

Answer:

The following steps will be followed to draw the given line segmenthttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif  and to construct a copy ofhttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif ­.

(1) Let https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif  be the given line segment.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_81d1247.jpg

(2) Adjust the compasses up to the length of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_651ea87f.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_591313d2.jpg

(3) Draw any line l and mark a point A on it.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_10ab57ed.jpg

(4) Put the pointer on point A, and without changing the setting of compasses, draw an arc to cut the line segment at point B.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_m30c0a2d2.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3130/Exercise%2014_html_m23a827c5.gif  is the required line segment.

Question 2:

Given some line segmenthttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m23a827c5.gif , whose length you do not know, construct https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_651ea87f.gif  such that the length of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_651ea87f.gif  is twice that of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m23a827c5.gif .

Answer:

The following steps will be followed to construct a line segment https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_651ea87f.gif ­ such that the length of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_651ea87f.gif  is twice that of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m23a827c5.gif .

(1) Let https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m23a827c5.gif  be the given line segment.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m73525bb7.jpg

(2) Adjust the compasses up to the length of https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m23a827c5.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_5ccbf974.jpg

(3) Draw any line l and mark a point P on it.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_4142816c.jpg

(4) Put the pointer on P and without changing the setting of compasses, draw an arc to cut the line segment at point X.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_169e131c.jpg

(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line l at point Q.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_m797b95ca.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/14/3139/Exercise%2014_html_651ea87f.gif  is the required line segment.