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# RD Sharma Solutions Class 7 Chapter 16 - Congruence Exercise 16.2 Last updated date: 02nd Dec 2023
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## Class 7 RD Sharma Solutions Chapter 16 (Ex.: 16.2)- Free PDF Download

RD Sharma Solutions for Class 7 Chapter 16: Congruence, Exercise 16.2 are available on Vedantu. The concepts of Congruence of Triangles become self-explanatory with these step-by-step solutions. All the sums covered in exercise 16.2 of Class 7 RD Sharma are solved by our team of subject matter experts at Vedantu. Students can access these Class 7 Maths Ex-16.2 RD Sharma solutions for free on our website as well as on Vedantu mobile app. These solutions are available in PDF format and can be downloaded for free.

There are 10 sums, along with multiple sub-parts, covered in this exercise based on the congruence of two triangles and the conditions required to prove the same. Therefore, Ex.-16.2 addresses several important topics under the theory of congruence of triangles. The topics covered in this exercise are listed below.

• Congruence of two triangles

• Side-side-side condition for congruence of triangles

• Sufficient conditions for congruence of triangles

## Congruence

When an object and its mirror image are in alignment, it is called congruence. If two objects or shapes superimpose on each other, then the objects or shapes are said to be congruent. There is no difference between their shape or size. Congruent geometric figures have congruent line segments and congruent angles.

### What is the Congruence of Triangles?

In geometry, two triangles are congruent if all three corresponding sides, as well as all three corresponding angles, are equal in measure. It is possible to turn, rotate, or flip these triangles for them to look identical. They appear identical even when they are repositioned. The symbol of congruence is ‘ ≅’.

Two triangles can be said to be congruent only if they satisfy certain conditions of congruence. These conditions are also referred to as axioms of congruence. There are five basic axioms of congruence, and they are as follows.

• SSS: All three sides of a triangle are equal to the corresponding three sides of another triangle.

• SAS: Two sides of a triangle and the angle between them are equal to the corresponding pair of sides and the corresponding angle of another triangle.

• ASA: Two angles of a triangle and the side between them are equal to the corresponding pair of angles and the corresponding side of another triangle.

• AAS: Two angles and a side of a triangle are equal to the corresponding pair of angles and the corresponding side of another triangle.

• HL: The hypotenuse and a side of a right-angled triangle are equal to the hypotenuse and corresponding side of another right-angled triangle.

### SSS Congruence Condition

When all three sides of a triangle are equal to the corresponding three sides of another triangle, the two triangles are congruent by the side-side-side axiom. This axiom is also written as ‘SSS’ for convenience while solving sums of RD Sharma Class 7 Ex.16.2.

As SSS is the easiest condition of congruence to identify, the sums of this exercise are likely to be easy for all students.

### Benefits of Class 7 RD Sharma Solutions Chapter 16 (Ex-16.2): Congruence

RD Sharma is a book known for explaining concepts of mathematics with easy, moderate, and difficult sums. Likewise, the concepts of congruence of two triangles by SSS condition, are explained with the help of self-explanatory examples in this part of Class 7 RD Sharma Chapter 16. The following exercise comprises sums, solving which students will be able to evaluate their understanding of the same. The benefits of referring to RD Sharma Class 7 Chapter 16 Ex.-16.2 are as follows.

• Numerous illustrations in these RD Sharma Solutions make it enjoyable to learn.

• In addition to the introduction of the concept of the SSS condition of congruence, students are presented with solved examples to lay a solid foundation for their understanding.

• RD Sharma Class 7 Chapter 16 Ex.-16.2 consists of sums of varying levels of difficulty. The easy sums at the beginning of the exercise give a good start to students, boosting their confidence. Sums of the moderate and high levels of difficulty test their ability to analyse various parameters of triangles and identify the suitable conditions of congruence of triangles.

• All examples and solutions are carefully researched and designed by subject matter experts.

• A detailed step-by-step solution is provided for each sum.

The RD Sharma Solutions for Class 7 Chapter 16 Congruence Ex.-16.2 are designed based on the CBSE curriculum for Class 7. These solutions are sufficient for preparing for the Class 7 Maths exam. These RD Sharma Class 7 Ex-16.2 Solutions are prepared in accordance with the latest guidelines of CBSE. So students can refer to this Solutions PDF for their exam preparation.

Also, students can solve and practice the sums covered in this exercise on their own and verify their solutions with those given in RD Sharma Class 7 Congruence Ex-16.2 PDF. In this way, they can ensure that they do not miss any steps while solving the sums of congruence of two triangles by the SSS condition. Students can download and refer to RD Sharma Class 7 Solutions PDF for Ex-16.3, 16.4, and 16.5 available on Vedantu, for free.

## FAQs on RD Sharma Solutions Class 7 Chapter 16 - Congruence Exercise 16.2

1. What is meant by the congruence of two triangles?

When all three angles and sides of a triangle are equal to the corresponding angles and sides of another triangle, the two triangles are said to be congruent. The congruence of triangles can be identified and proved by various conditions, like SSS, AAS, SAS, ASA, and HL.

2. What is the SAS condition of congruence?

Two triangles are said to be congruent by SAS condition when two sides of the first triangle and the angle in between them are equal to the corresponding two sides and the angle in-between, of the second triangle.