# NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.4

NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.4 (Ex. 4.4) Practical Geometry in PDF and Videos format free to use online or download to use offline. All the question answers are updated for academic session 2021-2022.

In class 8 Maths Exercise 4.4 explanation video, every question is done step by step with easy method. Student can learn the way to draw quadrilateral through this videos easily.## Class 8 Maths Chapter 4 Exercise 4.4 Solution

### CBSE NCERT Class 8 Maths Chapter 4 Exercise 4.4 Solution in Hindi and English Medium

Class: 8 | Mathematics |

Chapter: 4 | Practical Geometry |

Exercise: 4.4 | NCERT Book Solution |

### Class 8 Maths Chapter 4 Exercise 4.4 Solution in Videos

###### Iii. To Construct a Quadrilateral when 3 Sides and 2 Include Angles are given:

Construct a quadrilateral ABCD in which AB = 3.6 cm, ∠ABC = 80°, BC = 4 cm, ∠BAD = 120° and AD = 5 cm.

Steps of construction:

Step 1. Draw AB = 3.6 cm

Step 2. Make ∠ABX = 80°

Step 3. With B as centre and radius equal to 4 cm, draw an arc, cutting BX at C

Step 4. Make ∠BAY = 1200

Step 5. With A as centre and 5 cm as radius, draw an arc, cutting AY at D

Step 6. Join CD

Then, ABCD is the required quadrilateral, drawn alongside.

**Question**:

Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, ∠B = 125° and ∠C = 600

**Solution**:

Steps of construction:

Step 1. Draw AB = 3.5 cm

Step 2. Make ∠ABX = 125°

Step 3. With B as centre and radius equal to 5 cm, draw an arc, cutting BX at C

Step 4. Make ∠BCY = 600

Step 5. With C as centre and 4.6 cm as radius, draw an arc, cutting CY at D

Step 6. Join CD and AD

Then, ABCD is the required quadrilateral.

### Class 8 Maths Exercise 4.4 Extra Questions for Practice

##### How do you construct a quadrilateral with a compass?

Read through the following steps:

1. Place the compass on the vertex of the angle (point B). Draw an arc across each arm of the angle.

2. Place the compass on the point where one arc crosses an arm and draw an arc inside the angle. …

3. Use a ruler to join the vertex to the point where the arcs intersect (D).

##### What is the sum of all the four angles of a quadrilateral?

The sum of the interior angles of any quadrilateral is 360°. Consider the two examples below. You could draw many quadrilaterals such as these and carefully measure the four angles. You would find that for every quadrilateral, the sum of the interior angles will always be 360°.

##### Is triangle a quadrilateral or not?

Triangle is not a quadrilateral. It is not a quadrilateral because quadrilateral means the shapes having 4 sides or more than that.