# NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 7 |

Subject | Maths |

Chapter | Chapter 10 |

Chapter Name | Practical Geometry Ex 10.1 |

Number of Questions Solved | 3 |

## NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1

**NCERT TEXTBOOK EXERCISES**

**Question 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 of Construction**

- Draw a line AB.
- Take a point C outside it.
- Take any point D on AB.
- Join C to D.
- with D as centre and a convenient radius, draw an arc cutting AB at F and CD at E.
- Now with C as centre and the same radius as in step 5, draw an arc GH cutting CD at I.
- Place the pointed tip of the compasses at F and adjust the opening so that the pencil tip is at E.
- With the same opening as in step 7 and with I as centre, draw an arc cutting the arc GH at J.
- Now join CJ to draw a line â€˜KLâ€™. Then KL is the required line.

**Question 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 of Construction**

- Draw a line l.
- Take any point A on line l.
- Construct an angle of 90Â° at point A of line l and draw a line AL perpendicular to line l.
- Mark a point X on AL such that AX = 4 cm.
- At X construct an angle of 90Â° and draw a line XC perpendicular to line AL.
- Then line XC (line m) is the required line through X such that m || l.

**Question 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 of Construction**

- Draw a line l and take a point P not on it.
- Take any point Q on l.
- Join Q to P.
- Draw a line m parallel to line l, as shown in the figure. Then line m || line l.
- Join P to any point Q on l.
- Choose any point R on m.
- Join R to Q.
- Through R, draw a line n parallel to the line PQ.
- Let the line n meet the line l at S.
- Then, the shape enclosed by the two sets of parallel lines is a parallelogram.

## NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1 PDF

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