# NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.5

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.5 (Ex. 14.5) Practical Geometry in Hindi and English Medium free to use online or download in PDF file format. All the question answers are updated for academic session 2021-2022 CBSE and State board students.

Class 6 math exercise 14.5 explains how to draw a perpendicular bisector of a given line. Here we will learn to draw a line of symmetry also.## Class 6 Maths Chapter 14 Exercise 14.5 Solution

### CBSE NCERT Class 6 Maths Chapter 14 Exercise 14.5 Solution in Hindi and English Medium

Class: 6 | Mathematics |

Chapter: 14 | Practical Geometry |

Exercise: 14.5 | NCERT Textbook Solution |

### Class 6 Maths Chapter 14 Exercise 14.5 Solution in Videos

##### To Construct an Angle Equal to a Given Angle

In order to construct an angle equal to a given angle ABC, we take the following steps:

Step-1: Draw an angle ABC.

Step-2: Draw a ray KJ.

Step-3: With B as centre draw an arc cutting BA and BC at P and Q respectively.

Step-4: With K as centre and the same radius as above, draw an arc cutting KJ at R.

Step-5: With R as centre and radius equal to PQ cut the previous arc at S.

Step-6: Join KS and draw ray KL. Angle LKJ so obtained is the required angle.

Verification: Measure angle ABC and angle LKJ with the help of a protractor. You will find that angle ABC = angle LKJ.

##### To Bisect a Given Angle

In order to bisect a given angle ABC, we take the following steps:

(i) Draw any angle ABC.

(ii) With B as centre and a suitable radius draw an arc that cuts BA and BC at points M and N respectively.

(iii) With M as centre and radius more than half of MN draw an arc.

(iv) With the same radius and N as centre draw another arc to cut the first arc at R.

(v) Join BR and produce it to form ray BX.

Then ray BX bisects angle ABC

Verification: Measure angle CBX and angle XBA. You will find that angle CBX = angle XBA.

### Class 6 Maths Exercise 14.5 Important Questions

##### What is the meaning of bisector of angle?

The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the in-center.

##### How many angle bisectors are possible in an angle?

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

##### Can a ray be bisected?

A line of reflection must exist so that when the figure is folded along this line, each point on one side of the line maps to a corresponding point on the other side of the line. A ray cannot be bisected.