# RS Aggarwal Class 8 Chapter 17 Solutions (Construction Of Quadrilaterals)

RS Aggarwal Class 8 Maths Solutions for Chapter 17 ‘Construction of Quadrilaterals’ provide stepwise solutions to the exercise questions of the chapter. In class 7, you learned how to construct a triangle. Now, in this chapter of RS Aggarwal Class 8 Maths Solutions, you will learn how to construct figures with four sides. You will study which measurements are necessary to draw a quadrilateral, for instance, angles, length of sides, or length of diagonal.

Exercise questions of Chapter 17 ‘Construction of Quadrilaterals’ of RS Aggarwal Class 8 Maths book are designed to give you sufficient practice of the construction methods for quadrilaterals. There are 2 exercises given in this chapter with 29 questions in total. Practising these exercises will enable you to prepare this topic thoroughly for the Class 8 CBSE Maths exam. It will also form a good foundation for geometry topics that you will study in Class 9.

The most important factor in answering questions related to the construction of quadrilaterals is the correct steps of construction. If you miss one step, you might not be able to form the quadrilateral. Therefore, Instasolv has provided you with step-by-step solutions to the exercise questions of this chapter with proper diagrams and explanations. Refer to these solutions right away and prepare this chapter thoroughly. Below are some important topics related to this chapter.

## Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 17: Construction of Quadrilaterals

You must know that a quadrilateral is a two-dimensional, closed figure with four sides. The four interior angles of the quadrilateral formed at its corners always have a sum of 360°. There are different types of quadrilaterals such as parallelogram, rectangle, square, trapezium, rhombus, and kite.

Now, let us see what measurements are necessary to construct a quadrilateral. A quadrilateral can be constructed in five different ways that are given below:

- Constructing a quadrilateral when the length of one diagonal and four sides are given
- Constructing a quadrilateral when the length of two diagonals and three sides are given
- Constructing a quadrilateral when the length of two adjacent sides and the measure of three angles are given
- Constructing a quadrilateral when the length of three sides and two included angles are given
- Constructing a quadrilateral when the length of when other special properties are known, for example, if you are asked to construct a square or a rhombus, you would already have an idea of their distinctive properties that can help you in construction.

**Example:** Let us take an example to understand the process of constructing a quadrilateral when the length of one diagonal and four sides is given:

- Suppose you have to construct a quadrilateral with the following dimensions: AB = 4.8cm, BC = 4.3 cm, CD = 3.6 cm and AD = 4.2 cm. The length of the diagonal AC = 6cm. Consider the diagram given below for your reference.

- At first, take a ruler and draw any one side of the quadrilateral, say you draw AB =4.8cm. This side of the quadrilateral will act as your base to draw the complete figure.
- Now, create the diagonal. For that, you would need a compass. Keep the tip of the compass at 0cm of the ruler and wide-open the compass up to 6cm. Now, from point A, mark an arc of 6cm.
- Then, we need to create the side BC so that we can find the point of intersection C for AC and BC line segments of the quadrilateral. So, now, again take the compass and wide-open it up to length 4.8cm with the help of the ruler. Then, keep one tip of the compass at point B and mark an arc of 4.8cm from there. This point of intersection is point C.
- Now, for point D, we would follow the same process and find the point of intersection between DC and AD using the arc made with the compass. At first, measure 4.2cm on the compass, and from point A, make an arc of 4.2cm length. Then, wide-open the compass for length 3.6cm and make an arc from point C. This point where both these arcs would intersect is point D.
- Now, draw AD and CD and your construction of quadrilateral is complete.

### Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 17: Construction of Quadrilaterals

- There are two exercises in Chapter 17 of the RS Aggarwal Solutions for Class 8 Maths syllabus. Exercise 17A has 13 questions and exercise 17B has 16 questions.
- In exercise 17A you will find questions where you have to construct a quadrilateral when the length of one diagonal and four sides are given.
- There are also questions where the measure of two or three angles of the quadrilateral is given along with the length of the sides and then you have to construct the quadrilateral.
- In exercise 17B, you are given the names of the quadrilateral that you have to construct. For instance, the questions clearly specify that you have to construct a parallelogram.
- For this exercise, you must have studied the properties of quadrilaterals thoroughly as they will help you in constructing the quadrilateral required.

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