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 constructions. 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.
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1. Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using 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 center and any radius draw an arc to cut AB at E and PQ at F.
4. With P as center and 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 center, 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 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 line to get line M which is parallel L.
5. Then take any point R on line M.
6. At point R draw angle such that ∠P = ∠R
7. At point R extend line which intersects line L at S and draw a line RS.