# RS Aggarwal Class 8 Solutions Chapter 16

## RS Aggarwal Solutions for Class 8 Chapter 16 – Parallelograms PDF

### RS Aggarwal Class 8 Maths Solutions Chapter-wise – Free PDF Download

The correct answers to all of the exercise questions can be found in the RS Aggarwal Class 8 Solutions Chapter 16 “Parallelograms.” The best way to do well on your 10th board exams is to learn a lot in class 9 and build a strong foundation. For this, you can look at the RS Aggarwal Class 8 Solutions Chapter 16 made just for you by math experts at Utopper. This will be the best way for you to learn. The RS Aggarwal Solutions for Class 8 Chapter 16 will make it easy to understand how to solve each problem. It goes into detail about each of the sections.

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**RS Aggarwal Class 8 Solutions Chapter 16 – Parallelograms**

**RS Aggarwal Class 8 Solutions Chapter 16 – Parallelograms**

**RS Aggarwal Class 8 Solutions**

## Chapter-1 Rational Numbers

## Chapter-2 Exponents

## Chapter-3 Squares and Square Roots

## Chapter-4 Cubes and Cube Roots

## Chapter-5 Playing with Numbers

## Chapter-6 Operations on Algebraic Expressions

## Chapter-7 Factorisation

## Chapter-8 Linear Equations

## Chapter-9 Percentage

## Chapter-10 Profit and Loss

## Chapter-11 Compound Interest

## Chapter-12 Direct and Inverse Proportions

## Chapter-13 Time and Work

## Chapter-14 Polygons

## Chapter-15 Quadrilaterals

## Chapter-16 Parallelograms

## Chapter-17 Construction of Quadrilaterals

## Chapter-18 Area of a Trapezium and a Polygon

## Chapter-19 Three-Dimensional Figures

## Chapter-20 Volume and Surface Area of Solids

## Chapter-21 Data Handling

## Chapter-22 Constructing and Interpreting Bar Graphs

## Chapter-23 Pie Charts

## Chapter-24 Probability

## Chapter-25 Graphs

#### Download the PDF of RS Aggarwal Class 8 Solutions Chapter 16 Solutions

The RS Aggarwal Class 8 Solutions for Chapter 16 are easy to find on the Utopper site. Using the RS Aggarwal Solutions for Class 8 chapter 16 in a PDF is the easiest way to quickly review. Students can quickly review at any time, which is very convenient. They are very useful because you can save them to your devices or print them out. This offline mode of RS Aggarwal Class 8 solutions for parallelograms is easy to find and can be used even if you don’t have an internet connection.

#### Parallelogram Solutions for Class 8 by RS Aggarwal

The ideas of a parallelogram are at the heart of RS Aggarwal Class 8 Solutions Chapter 16. Some of the most important things talked about in this chapter are:

**All of the parallelogram’s sides**

This idea says that the total number of angles in a parallelogram is 360 degrees. A parallelogram is made up of points A, B, C, and D.

**∠A+∠B+ ∠C+∠D= 360 ^{o}**

- Theories of parallelogram
- The opposite sides of a parallelogram are equal.
- The opposite angles of a parallelogram are equal.
- Diagonals bisect each other.

Triangles are said to be congruent if the sides of one triangle line up with the sides of the other triangle. The side of one triangle is equal to the side of the other triangle that goes with it.

**Some theories show that one triangle is the same as another.**

**SSS:** The side of one triangle is the same as the side of the other triangle. In the triangle ABCPQR,

- AB= PQ
- BC= QR
- AC= PR

**SAS**: In this case, one side is the same as the other side, the angle is the same as the other angle, and the side is the same as the side of the other triangle. In the triangle ABCPQR, AB equals PQ.

- ∠B= ∠Q
- BC= QR

**ASA:** In this case, an angle is the same as the angle of the other triangle, and a side is the same as the side of the other triangle.

In triangles ABC and PQR, for example,

- ∠B= ∠Q
- BC= QR
- ∠C= ∠R

**AAS:** In this case, two angles are the same, and the side is the same as the side. In triangles ABC and PQR, for example,

- ∠A= ∠P
- ∠B= ∠Q
- AB= PQ

**HL:** This is true for the right angle. In this case, the hypotenuse of one right-angled triangle is equal to the other, and any other side is equal to the side of the other right-angled triangle. For example, in triangles ABC and PQR, which both have right angles,

- AC= PR
- BC= QR

The above tips talked about the topics of class 8 maths parallelogram and gave a brief overview of the theories and topics related to the parallelogram.

## FAQ ( Frequently Asked Questions )

**1. Where can I find the PDF for RS Aggarwal Solutions for Class 8 Chapter 16 Parallelograms?**

Ans – Utopper has a lot of different things, like notes, NCERT Solutions, Reference Book solutions, practice exercises, and much more. The best part is that it doesn’t cost anything. In our Reference book solutions section, you can find the RS Aggarwal Class 8 Solutions Chapter 16 Parallelograms. Now, students can get the information they need anywhere in the world, at any time. Our experts have put a lot of thought into the information that Utopper gives out.

**2. The total of the angles on the opposite sides of the parallelograms is 140°. Find out how big all the angles are.**

Ans – In ||gm ABCD, A, and C are at right angles to each other.

- ∴ ∠A = ∠C= 140°
- But ∠A = ∠C (opposite angles)
- ∴ ∠A = ∠C= 140°/2= 70°
- But ∠A + ∠B = 180°
- (sum of adjacent angles)
- => 70° + ∠B = 180°
- => ∠B = 180° – 70° = 110°
- But ∠ D = ∠ B (opposite angles)
- ∴ ∠D = 110°
- So, A is 70°, B is 110°, C is 70°, and D is 110°.

**3. Name some of the things a parallelogram has and one of the special kinds of parallelograms.**

Ans – A parallelogram has the following traits:

- A parallelogram is a special kind of quadrilateral in which the opposite sides are parallel and equal.
- Both of the angles on the opposite sides of the parallelogram are the same.
- Angles next to each other in it add up to 180 degrees, so the sum of two angles next to each other is also 180 degrees.
- At their middle points, the two sides of a parallelogram cut each other in half.
- If one of the angles on the inside is 90 degrees, then they are all right angles.
- There are different kinds of parallelograms, and the Rhombus is one of the more interesting ones.