Students can download Chapter 14 Practical Geometry Ex 14.3 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

## Karnataka State Syllabus Class 6 Maths Chapter 14 Practical Geometry Ex 14.3

Question 1.

Draw any line segment \(\overline{\mathbf{P Q}}\). Without measuring \(\overline{\mathbf{P Q}}\), construct a copy of \(\overline{\mathbf{P Q}}\).

Solution:

The following steps will be followed to draw the given line segment \(\overline{\mathbf{P Q}}\) and to construct a copy of \(\overline{\mathbf{P Q}}\).

(1) Let \(\overline{\mathbf{P Q}}\) be the given line segment.

(2) Adjust the compasses up to the length of \(\overline{\mathbf{P Q}}\).

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

(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.

\(\overline{\mathbf{A B}}\) is the required line segment.

Question 2.

Given some line segment \(\overline{\mathbf{A B}}\), whose length you do not know, construct \(\overline{\mathbf{P Q}}\) such that the length of \(\overline{\mathbf{P Q}}\) is twice that of \(\overline{\mathbf{A B}}\).

Solution:

The following steps will be followed to construct a line segment \(\overline{\mathbf{P Q}}\) such that the length of \(\overline{\mathbf{P Q}}\) is twice that of \(\overline{\mathbf{A B}}\).

(1) Let \(\overline{\mathbf{A B}}\) be the given line segment.

(2) Adjust the compasses up to the length of \(\overline{\mathbf{A B}}\).

(3) Draw any line 1 and mark a point P on it.

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

(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line 1 at point Q.

\(\overline{\mathbf{P Q}}\) is the required line segment.