In class VII we already learned how to draw triangles. To draw a unique triangle we require three measurements of sides and angles. In NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry we are going to learn how to construct a unique quadrilateral, with different conditions are given like when the lengths of four sides with a diagonal are given like, when three sides and two diagonals are given, when two adjacent sides with three angles are given, etc.
Practical Geometry is introduced in Class 8 Maths Chapter 4 Practical Geometry in the curriculum to make students able to imagine things and creating a shape according to the given data. Geometry is a subset of Mathematics in which we learn about shape, size & relative position of geometric figures like- Angle, Triangle, Rectangle and etc. We know that to draw a triangle we need the measurement of three straight lines likewise we can say that the measurement of four lines will help us in creating a rectangle. The concept of this topic is totally dependent on construction. We can say it as a drawing of mathematics. It is the fundamental of geometry in which we will learn to draw various kinds of figures pictures. Geometry is important as much as arithmetic. In NCERT Class 8 Maths Chapter 4 Practical Geometry we are going to learn the following things out of this topic:-
Construction of line using the geometric kit
Construction of various kinds of angles using a compass
Construction of Angles, Triangles & Rectangles etc.
In NCERT Grade 8 Maths Chapter Practical Geometry students will learn to construct mainly the quadrilateral, where the measurement of lines and angles will be given and we have to just create a geometric figure based on the measurements. In this chapter, there are 5 exercises with 8 questions.
Topics of NCERT for Class 8 Maths Chapter 4 - Practical Geometry
4.2 Constructing a Quadrilateral
4.2.1 When the lengths of four sides and a diagonal are given
4.2.2 When two diagonals and three sides are given
4.2.3 When two adjacent sides and three angles are known
4.2.4When three sides and two included angles are given
4.3 Some Special Cases
NCERT Solutions for Class 8 Maths Chapter 4 - Practical Geometry will create a habit of mathematical drawing and imagining things in a better manner and it is the basic of geometry which will help you while facing the higher level problems in higher classes. Every question of the exercise has been solved, please find the solutions below:
|Chapter -1||Rational Numbers|
Q1. Construct the following quadrilaterals.
(ii) Quadrilateral TRUE
TR = 3.5 cm
RU = 3 cm
UE = 4 cm
Q1. In the above example, we first drew BC. Instead, what could have been be the other starting points?
Q2. We used some five measurements to draw quadrilaterals so far. Can there be different sets of five measurements (other than seen so far) to draw a quadrilateral? The following problems may help you in answering the question.
(i) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and .
(ii) Quadrilateral PQRS with PQ = 4.5 cm, , ,
Construct a few more examples of your own to find sufficiency/insufficiency of the
data for the construction of a quadrilateral.