# NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.2

CBSE NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.2 (Ex. 5.2) Understanding Elementary Shapes in PDF format free to use offline or use as it is without downloading. Solutions are available in Hindi and English Medium free to use without any login.

Videos related to exercise 5.2 of grade 6 Maths is also given with full explanation.## Class 6 Maths Chapter 5 Exercise 5.2 Solution

Class: 6 | Mathematics |

Chapter: 5 | Understanding Elementary Shapes |

Exercise: 5.2 | NCERT Solution in Hindi and English |

### CBSE NCERT Class 6 Maths Chapter 5 Exercise 5.2 Solution in Hindi and English Medium

### Class 6 Maths Chapter 5 Exercise 5.2 Solution in Videos

##### Perpendicular Lines

Two lines are said to be perpendicular if one of the angles formed by them is a right angle (or 90°).

###### Construction of a Line Perpendicular to a Given Line at a Given Point Using a Set-Square and a Ruler:

We can construct two perpendicular lines either by ruler and set-square or by ruler and compass.

###### To Draw an Angle of Given Measure:

In order to construct an angle of a given measure say, 130°, we take the following steps:

Step 1. Draw a ray, say LK with the end point L on a sheet of paper.

Step 2. Place the protractor in such a way that its centre point lies on L and its base line lies along LK. Step 3. Run your eyes along the scale whose 180° mark lies on LK until you find 130° mark on the rim. Step 4. On that mark put a dot with a fine pencil and name it M.

Step 5. Remove the protractor and draw a ray LM.

Thus, angle KLM = 130° is the required angle.

###### To Construct an Angle of 45° We take the following steps for this construction: To Construct an Angle of 45° We take the following steps for this construction:

Step 1. Draw an angle ABC = 90°.

Step 2. With D as centre and radius more than half of DE draw an arc.

Step 3. With G as centre and same radius as above, draw another arc cutting the first arc at H.

Step 4. Join BH and produce to M. Then angle CBM is the required angle of 45° and also angle MBA is 45°.

###### To Construct an Angle of 120°

We take the following steps for this construction:

Step 1. Draw a ray BC.

Step 2. With B as centre and any suitable radius draw an arc cutting BC at D.

Step 3. With D as centre and same radius cut off the arc first at E and then with E as centre cut off the arc at another point F.

Step 4. Join BF and produce it to A as shown in. Then angle ABC is the required angle of 120°.

##### What are the types of angles?

Different Types of Angles:

(i) Zero Angles.

(ii) Acute Angles.

(iii) Right Angles.

(iv) Obtuse Angles.

(v) Straight Angles.

(vi) Reflex Angles.

(vii) Complete Angle.

##### How do you teach construction of angles?

Constructing Angles of 600

Step 1: Draw the arm PQ.

Step 2: Place the point of the compass at P and draw an arc that passes through Q.

Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.

##### What are the four basic constructions?

The most-used straightedge and compass constructions include:

Constructing the perpendicular bisector from a segment.

Finding the midpoint of a segment.

Drawing a perpendicular line from a point to a line.

Bisecting an angle.

Mirroring a point in a line.

Constructing a line through a point tangent to a circle.