NCERT Solutions Class 7 Mathematics
Chapter – 10 (Practical Geometry)
The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 10 Practical Geometry Exercise 10.1 has been provided here to help the students in solving the questions from this exercise.
Chapter : 10 Practical Geometry
- NCERT Solution Class 7 Maths Exercise – 10.2
- NCERT Solution Class 7 Maths Exercise – 10.3
- NCERT Solution Class 7 Maths Exercise – 10.4
- NCERT Solution Class 7 Maths Exercise – 10.5
Exercise – 10.1
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 D on AB and a point C outside AB.
3. Join the given point C to D and mark ∠1 to ∠CDB.
4. Mark ∠1 = ∠2 at C and produce to both side.
5. MN is the required line.
Using the Property of Alternate Angles
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 m.
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.
