# NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2

NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2 (Ex. 4.2) Practical Geometry in English Medium and Hindi Medium updated for CBSE academic session 2021-2022. Videos related to 8th Maths ex.

4.2 are also given along with the PDF solutions. All the questions are explained well in simple steps using proper formula. If someone feel problem to access the contents, please contact us for help. Contents on Tiwari Academy are free to use without any formality.## Class 8 Maths Chapter 4 Exercise 4.2 Solution

### CBSE NCERT Class 8 Maths Chapter 4 Exercise 4.2 Solution in Hindi and English Medium

Class: 8 | Mathematics |

Chapter: 4 | Practical Geometry |

Exercise: 4.2 | Hindi & English Medium Solutions |

### Class 8 Maths Chapter 4 Exercise 4.2 Solution in Videos

##### II. To Construct a Quadrilateral When 3 Sides and 2 Diagonals are Given:

Construct a quadrilateral ABCD in which AB = 4 cm, BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm.

First we draw a rough sketch of quad. ABCD and write down its dimensions as given.

We may divide it into two triangles, namely triangle ABC and triangle ABD.

Steps of construction:

Step 1. Draw AB = 4 cm

Step 2. With A as centre and radius equal to 5 cm, draw an arc.

Step 3. With B as centre and radius equal to 3.8 cm, draw another arc, cutting the previous arc at C.

Step 4. Join BC.

Step 5. With A as centre and radius equal to 3 cm, draw an arc,

Step 6. With B as centre and radius equal to 4. 6 cm, draw another arc, cutting the previous arc at D. Step 7. Join AD and CD.

Then, ABCD is the required quadrilateral.

**Question**:

Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm.

**Solution**:

First we draw a rough sketch of quad. ABCD and write down its dimensions as given.

We may divide it into two triangles, namely triangle ABC and triangle ABD.

Steps of construction:

Step 1. Draw AB = 3.6 cm

Step 2. With A as centre and radius equal to 4.6 cm, draw an arc.

Step 3. With B as centre and radius equal to 3.3 cm, draw another arc, cutting the previous arc at C.

Step 4. Join BC.

Step 5. With A as centre and radius equal to 2.7 cm, draw an arc,

Step 6. With B as centre and radius equal to 4 cm, draw another arc, cutting the previous arc at D.

Step 7. Join AD and CD.

Then, ABCD is the required quadrilateral.

### Class 8 Maths Exercise 4.2 Extra Questions for Practice

##### Construct a quadrilateral ABCD in which AB = 3.4 cm, CD = 3 cm, DA = 5.7 cm, AC = 8 cm and BD = 4 cm.

First we draw a rough sketch of quadrilateral ABCD and write down its dimensions as given.

We may divide it into two triangles, namely triangle ABD and triangle ADC.

Steps of construction:

Step 1. Draw AB = 3.4 cm

Step 2. With B as centre and radius equal to 4 cm, draw an arc.

Step 3. With A as centre and radius equal to 5.7 cm, draw another arc, evious arc at D.

Step 4. Join BD and AD.

Step 5. With A as centre and radius equal to 8 cm, draw an arc,

Step 6. With D as centre and radius equal to 3 cm, draw another arc, cutting the previous arc at C.

Step 7. Join AC, CD and BC

Then, ABCD is the required quadrilateral.

##### Is a parallelogram Sometimes a quadrilateral?

A Quadrilateral is only a 4 sided figure & has no specific features, whereas a Parallelogram is a 4 sided figure with opposite sides parallel and equal, opposite angles equal and adjacent angles in a linear pair. A Quadrilateral is not a Parallelogram. A Parallelogram is a Quadrilateral.

##### Is a quadrilateral a square?

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.