Students can Download Chapter 14 Practical Geometry Ex 14.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 6 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
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.