NCERT Extra Questions for Class 8 Maths Chapter 4 Practical Geometry are the best practice material available online for free. These extra questions are created by Maths experts at askIITians so that students can understand the main concepts of this chapter easily. Extra questions help in solidifying your concepts and make it easier for you to prepare the chapter for your Maths exam. You must solve these extra questions once you have completed the NCERT exercises of Practical Geometry Chapter.
Chapter 4 of NCERT Class 8 Maths book is based on the construction of quadrilaterals. In this chapter, you learn how to construct a quadrilateral when you are given some of its measurements like the length of all its four sides and the diagonal. This chapter is not only interesting to solve but also scoring. Once you understand all the steps of the construction, you can easily score full marks on all questions related to this chapter. Our extra questions will make it easier for you to practice the concepts of this chapter.
Class 8 Maths Chapter 4 Practical Geometry is based on the construction of quadrilaterals when you are given the measurements of:
You will also practice how to construct a triangle when the measurements of all three sides are given. You will learn how to use the compass and a ruler correctly and draw these geometric figures accurately. The chapter includes 5 NCERT exercises each of which has been solved by askIITians Maths experts for your complete conceptual understanding.
Steps to construct a quadrilateral when the measurement of three angles and two adjacent sides are known:
Suppose you need to construct a quadrilateral ABCD in which the two adjacent sides are AB = 4.5 cm and BC = 7.5 cm. The given three angles are ∠A = 75ᵒ, ∠B = 105ᵒ and ∠C = 120ᵒ.
Step 1: Draw AB = 4.5 cm. Then measure ∠B = 105° using protractor and draw BC = 7.5 cm.
Step 2: Draw ∠C = 120°.
Step 3: Measure ∠A = 75° and make a line until it touches the line coming from point C.
Steps involved in the construction of a quadrilateral when its two diagonals and three sides of the quadrilateral are given to you:
Suppose you have to construct a quadrilateral ABCD with two diagonals AC = 6.5 cm and BD = 8 cm. The other sides of the quadrilateral are BC = 5.5 cm, AD = 6.5 cm and CD = 6 cm.
Step 1: We can see that AD, AC and DC are given so we can construct a triangle ΔACD by using the SSS criterion.
Step 2: Now, we know that BD is given so we can draw the point B keeping D as the centre and draw an arc of radius 8 cm just opposite to the point D with reference to AC.
Step 3: BC is given so we can draw an arc keeping C as centre and radius 5.5 cm so that it intersects the other arc.
Step 4: The point of intersection of the arcs is point B. Join AB and BC to complete the quadrilateral.
Steps involved in constructing a quadrilateral when the measurement of its three sides and two included angles are given:
Suppose you have to construct a quadrilateral ABCD in which the three sides are AB = 5 cm, BC = 6 cm and CD = 7.5 cm. The two included angles are ∠B = 105° and ∠C = 80°.
Step 1: Draw the line BC = 6 cm. Then draw ∠B = 105° and mark the length of AB = 5 cm.
Step 2: Draw ∠C = 80° using a protractor towards point B.
Step 3: Mark the length of CD i.e.7.5 cm from C to make CD = 7.5 cm.
Step 4: Join AD which will complete the quadrilateral ABCD.
As you can see, constructing quadrilaterals is easy once you understand how to utilise the given measurements. You must practice how to solve the questions of this chapter step by step since it will be required in the examination. You will study construction of circles, triangles, perpendiculars, bisectors and other basic figures in higher classes. You must clarify all the concepts of basic construction in Class 8 so that you can handle the advanced topics at a later stage.
Key features of NCERT Extra Questions and Solutions for Class 8 Maths Chapter 4 Practical Geometry
You can also download Class 8 Maths Chapter 4 Practical Geometry NCERT Solutions for all the exercises of this chapter from the links given below:
You can find the stepwise NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry on the askIITians website. Our Maths experts have solved the NCERT exercises of this chapter for your reference and instant doubt-removal
Our NCERT Extra Questions for Chapter 4 Practical Geometry include questions for constructing quadrilaterals based on the given measurements such as four sides of the quadrilaterals and one of its diagonals, two diagonals and three sides of a quadrilateral, two adjacent sides and three angles of a quadrilateral, three sides and two included angles of a quadrilateral and when other special properties of a quadrilateral are known.
You can refer to our Class 8 Maths chapter-wise revision notes, sample papers, worksheets and mind maps to learn the different concepts of exponents and powers. You can also enrol in our online live classes where you can study from one of our experts and clarify your doubts.