# RS Aggarwal Class 9 Solutions Chapter 9

## RS Aggarwal Solutions for Class 9 Chapter 9 – Congruence of Triangles and Inequalities in a Triangle PDF

### RS Aggarwal Class 9 Solutions Chapter-wise – Free PDF Download

The RS Aggarwal Class 9 Solutions Chapter 9 look at Congruence of Triangles and Inequalities in a Triangle. The PDF with the solutions has notes on the different kinds of triangles and how they work. It also talks about the different ways to show that two triangles are the same shape.

The first part of Chapter 9 gives a clear explanation of triangles and their different kinds, such as Equilateral Triangles, Right-Angle Triangles, Scalene Triangles, and Isosceles Triangles. Then, as the chapter goes on, the students learn about the different parts of triangles. This chapter teaches the criteria that can be used to show that two triangles are the same.

It talks about different criteria, such as Angle Side Angle property, Side Side Side property, Side Angle Side Property, and Right-angle Hypotenuse Side property. The chapter has different sums on proving congruence, and we have given the answers to each one so that the students can understand them better.

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**RS Aggarwal Class 9 Solutions Chapter 9 – Congruence of Triangles and Inequalities in a Triangle**

**RS Aggarwal Class 9 Solutions Chapter 9 – Congruence of Triangles and Inequalities in a Triangle**

**RS Aggarwal Class 9 Solutions**

## Chapter 1 – Number System

## Chapter 2 – Polynomials

## Chapter 3 – Factorisation of Polynomials

## Chapter 4 – Linear Equations in Two Variables

## Chapter 5 – Coordinate Geometry

## Chapter 6 – Introduction to Euclid’s Geometry

## Chapter 7 – Lines and Angles

## Chapter 8 – Triangles

## Chapter 9 – Congruence of Triangles and Inequalities in a Triangle

## Chapter 10 – Quadrilaterals

## Chapter 11 – Areas of Parallelograms and Triangles

## Chapter 12 – Circles

## Chapter 13 – Geometrical Constructions

## Chapter 14 – Areas of Triangles and Quadrilaterals

## Chapter 15 – Volumes and Surface Area of Solids

## Chapter 16 – Presentation of Data in Tabular Form

## Chapter 17 – Bar Graph, Histogram and Frequency Polygon

## Chapter 18 – Mean, Median and Mode of Ungrouped Data

## Chapter 19 – Probability

#### RS Aggarwal Class 9 Solutions Chapter 9: free PDF

RS Aggarwal Class 9 Solutions Chapter 9: Congruence of Triangles and Inequalities will give you step-by-step solutions that will help you get the highest marks in the CBSE exams. This chapter of RS Aggarwal Class 9 Solutions has 2 exercises with a total of 43 problems. You’ll get an idea of the different ideas and problems that are based on triangles that are the same and the relationships between all triangles. In this chapter, you can learn about SAS, ASA, AAS, SSS, and RHS congruence criteria, as well as inequalities in a triangle and theorems.

The main reason for giving you this answer is to help you feel better about yourself and figure out where you need more practice for exams. You can solve textbook problems faster and easier with RS Aggarwal Solutions.

Utopper’s RS Aggarwal Class 9 Solutions Chapter 9: “Congruence of Triangles and Inequalities in a Triangle” help students understand this chapter better because questions with higher marks are likely to come from it. By doing the exercise wise problems every day, students can improve their ability to solve problems and think logically, which is important for getting a better grade.

#### What are Important Topics covered in RS Aggarwal Solutions for Class 9 Chapter 9?

This chapter will help you understand the main ideas behind triangles that are congruent: The size and shape of each triangle is the same. This way, the angles are the same and the angles are the same for each pair.

In this lesson, we will remember the 4 rules for showing that two triangles are the same. The SSS rule, the SAS rule, the ASA rule, and the AAS rule are all names for them.

**This is what the SSS rule says: side – side – side**

- Triangles are congruent if three sides of one triangle are the same as three sides of another triangle.

**Side–Angle–Side is the SAS rule**

- If two sides and one angle of a triangle are the same on both sides and include the angle of another triangle, then the triangles are congruent.

**The rule from the AAS is: angle–angle–side**

- If two angles and a side that is not included in a triangle are the same as two angles and a side that is not included in another triangle, then the two triangles are said to be congruent.

##### Three ways to show that triangles are congruent:

How to teach SAS, ASA, and SSS.

1. SSS Postulate: Two triangles are congruent if there is a correspondence between their corners so that three sides of one triangle are the same as the corresponding sides of the other triangle.

2. SAS Postulate: Two triangles are the same if there is a relationship between their corners so that the two sides and the covered angle of one triangle are the same as the same parts of the other triangle.

3. ASA Postulate: Two triangles are congruent if there is a correspondence between their points so that the angles and the covered side of one triangle are the same as the corresponding parts of the other triangle.

##### What’s good about RS Aggarwal Class 9 Solutions Math

The RS Aggarwal Solutions made by experts at Utopper give students a lot of great information. The answers help the students understand the chapter better so they can get better grades. Here are the good things about the solutions.

- How to fix things PDF has answers to all of the questions in the exercises, which would help students when they are studying and getting ready.
- The solutions give a full overview of the chapter, which makes it easier for students to understand how triangles can be congruent.
- The answers are made by expert teachers, so there are no mistakes and you can be sure of them.
- The answers are made especially for students who are having trouble with the chapter. Students can figure out how to solve any triangle problem by looking at the answers.
- The solutions are free to use and can be found on the Utopper portal. So download them right away and start getting ready for the test.

## FAQ ( Frequently Asked Questions )

**1. What does it mean when you say “congruent triangles”? How do you show that something is consistent?**

Ans – When the lengths of the sides and angles of two triangles are the same, we say that the triangles are congruent. If the lengths of the sides of two triangles are the same, we say that they are congruent. There are 5 ways to show that two triangles are the same shape. These are SSS (side side side), SAS (side angle side), ASA (angle side angle), AAS (angle angle side), and RHS (right hand side) (Right-angle Hypotenuse Side).

**2. What is an Equilateral Triangle? What is this mean?**

Ans – A triangle with equal-length sides is called an equilateral triangle. Each angle in an equilateral triangle is 60o, so the angles are all the same size.

An equilateral triangle has the following traits:

- All three sides of the triangle are the same length. Each angle is 60
^{o}, and they are all the same. - The three sides of an equilateral triangle are all the same length.
- In an equilateral triangle, the middle point, the line that cuts the angle in half, and the length of each side are all the same.

**3. How do the solutions from RS Aggarwal help?**

Ans – Students need to use the RS Aggarwal Solutions for Class 9 Chapter 9 as important study tools. The PDF of Utopper’s solutions can help you understand the chapter as easily as possible. From this PDF, you can find the answers to all of your questions. The PDF was made by experts, so you can trust it and know that there are no mistakes in it. The answers are useful and easy to get for free.

**4. How can I download the RS Aggarwal Class 9 Solutions Chapter 9?**

Ans – To get the RS Aggarwal Class 9 Solutions Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF from Utopper, just download the utopper app and you get access to every study material. You can also access online from Utopper official website Utopper.com then go to free study materials from the top navigation bar then click on RS Aggarwal Solutions under the Reference book Solutions Section. You won’t have to pay anything extra. This solution by RS Aggarwal is one of the most well-known solutions that Class 9 students use to study for their CBSE Class 9 Maths exams.