NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry

This chapter incorporates the technique for developing a quadrilateral with different parameters. There are five exercises, each various managing techniques for building the quadrilateral. For example, the main exercise manages the construction of quadrilaterals when the length of four sides and an inclining are given; correspondingly, the subsequent exercise includes constructing quadrilaterals when two diagonals and three sides are mentioned. This chapter will make the students knowledgeable in all quadrilateral ideas for additional classes.

Construction of a Quadrilateral

Construction of a quadrilateral is easy when the following are given:

• Lengths of all four sides and the length of its diagonal
• Lengths of the three sides and the lengths of the two diagonals
• Three angles and two adjacent sides
• Three sides and two angles

Construction of a Quadrilateral when different measures of sides and angles are given

Here, a unique quadrilateral can be constructed when the following measurements are given:

• Four sides and one diagonal.
• Two diagonals and three sides.
• Two adjacent sides and three angles.
• Three sides and two included angles.
• Other special properties.

If you have to construct a △ABC, the length of whose sides are, AB = x cm, BC = y cm, and AC = z cm, you will have to follow the steps given below.

• First, construct a line segment AB, whose length is x cm.
• Second, with A as the centre, draw an arc of radius z cm.
• Third, with B as the centre, draw an arc of radius measuring y cm on the same side. The point where the arcs meet is the required point C. Join AC and BC.

Number of measurements necessary for the construction of a unique Quadrilateral
For drawing a unique quadrilateral, we need at least five measurements of sides and angles. However, we don't need to end up with a unique quadrilateral even if we have the dimensions of any five combinations of the mentioned sides and angles.

Key Features of Aakash's NCERT Solutions

• Even diagrams fall short in clearing the basics of geometry the way Aakash's solution does.