*According to the latest CBSE Syllabus 2023-24, this chapter has been removed.
NCERT Solutions for Class 7 Maths Exercise 10.1 Chapter 10 Practical Geometry in simple PDF are given here. Construction of a line parallel to a given line, through a point not on the line, is the only topic covered in this exercise of NCERT Solutions for Maths Class 7 Chapter 10. As this is the first exercise, students are able to learn the basics of construction. Learn more about these topics by solving the questions of NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry with the help of solutions provided here.
NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry – Exercise 10.1
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Access Answers to NCERT Class 7 Maths Chapter 10 – Practical Geometry Exercise 10.1
1. Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using a ruler and compasses only.
Solution:-
Steps for construction,
1. Draw a line AB.
2. Take any point Q on AB and a point P outside AB and join PQ.
3. With Q as the centre and any radius, draw an arc to cut AB at E and PQ at F.
4. With P as the centre and the same radius, draw an arc IJ to cut QP at G.
5. Place the pointed tip of the compass at E and adjust the opening so that the pencil tip is at F.
6. With the same opening as in step 5 and with G as the centre, draw an arc cutting the arc IJ at H.
7. Now, join PH to draw a line CD.
2. Draw a line L. Draw a perpendicular to L at any point on L. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to L.
Solution:-
Steps for construction,
1. Draw a line L.
2. Take any point P on line L.
3. At point P, draw a perpendicular line N.
4. Place the pointed tip of the compass at P and adjust the compass up to the length of 4 cm. Draw an arc to cut this perpendicular at point X.
5. At point X, again draw a perpendicular line M.
3. Let L be a line and P be a point not on L. Through P, draw a line m parallel to L. Now join P to any point Q on L. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet L at S. What shape do the two sets of parallel lines enclose?
Solution:-
Steps for construction,
1. Draw a line L.
2. Take any point Q on L and a point P outside L and join PQ.
3. Make sure that angles at point P and point Q are equal, i.e. ∠Q = ∠P
4. At point P, extend the line to get line M which is parallel to L.
5. Then take any point R on line M.
6. At point R, draw an angle such that ∠P = ∠R
7. At point R, extend the line which intersects line L at S and draw a line RS.
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NCERT Solutions for Class 7 Maths
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