NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exz 14.4 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.4.

- Practical Geometry Class 6 Ex 14.1
- Practical Geometry Class 6 Ex 14.2
- Practical Geometry Class 6 Ex 14.3
- Practical Geometry Class 6 Ex 14.5
- Practical Geometry Class 6 Ex 14.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 14 |

Chapter Name |
Practical Geometry |

Exercise |
Ex 14.4 |

Number of Questions Solved |
3 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.4

Ex 14.4 Class 6 Maths Question 1.

Draw any line segment \(\overline { AB } \),. Mark any point M on it. Through M, draw a perpendicular to \(\overline { AB } \),. (use ruler and compasses)

Solution:

**Steps of Construction:**

- Draw a line segment AB, and mark any point M on it.
- With centre M and any radius, cut off MX and MY of equal lengths on both sides of M.
- With centre X and any radius > MX, draw an arc.
- With centre Y and the same radius draw another arc, cutting the previously drawn arc at P
- Join MP

Then, the segment PM so obtained is the required perpendicular.

Ex 14.4 Class 6 Maths Question 2.

Draw any line segment \(\overline { PQ } \),. Take any point R not on it. Through R, draw a perpendicular to \(\overline { PQ } \),. (use ruler and set-square)

Solution:

**Steps of Construction:**

- Let PQ be the line and R is any point not lying on PQ.
- Place the set-square so that the base AB of the set-square lies exactly on the line PQ.
- Hold the set-square fixed and place a ruler so that its edge position lies along the side AC of the set-square.
- Holding the ruler fixed, slide the set-square along the ruler till the point R coincides with the point B of the set-square.
- Keeping the set-square fixed in this position, draw a line RT along the edge BC of the set-square through R.

Thus, RT is the required perpendicular line to the line PQ passing through R.

Ex 14.4 Class 6 Maths Question 3.

Draw a line l and a point X on it. Through X, draw a line segment \(\overline { XY } \) perpendicular to l. Now draw a perpendicular to XY at Y. (use ruler and compasses)

Solution:

**Steps of Construction:**

- Draw a line l and mark any point X on it. ,
- With centre X and any radius, cut off XA = XB on both sides of X.
- With centre A and any radius > XA, draw an arc.
- With centre B and the same radius draw another arc, cutting the previously drawn arc at Y.
- Join XY. Then XY is perpendicular to line 1.
- By proceeding as above draw a perpendicular YZ to XY.

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