CBSE Class 7 Maths Revision Notes Chapter 7

CBSE Class 7 Mathematics Chapter 7 Notes – Congruence of Triangles

CBSE Class 7 Mathematics Chapter 7 ‘Congruence of Triangles’ Notes is divided into different concepts which need to be understood well by students. It is essential for students to revise the chapter on a regular basis. Hence, Extramarks has come up with Class 7 Mathematics Chapter 7 Notes that are readily available on their official website.

The Class 7 Mathematics Chapter 7 Notes are prepared in a way that students can easily comprehend both the fundamental and more complex concepts of the chapter ‘Congruence of Triangles.’ The Class 7 Chapter 7 Mathematics Notes are reliable since they were made in accordance with the most recent CBSE regulations and the CBSE syllabus.

To achieve good marks in the final exams, Extramarks advises candidates to consult the NCERT books and revise Chapter 7 Mathematics Class 7 Notes. To improve their marks, the students are advised to read the other Extramarks notes and the Class 7 Mathematics Chapter 7 Notes. Furthermore, including relevant examples will make it easier for the students to understand the concepts better.

Revision Notes for CBSE Class 7 Mathematics Chapter 7

Congruence

Congruence is the state of two objects being congruent with one another. For now, we shall only discuss flat figures, despite the fact that congruence is a general concept that also applies to three-dimensional structures. The key concepts that need to be further discussed include:

• Congruence of Plane Figures
• Congruence Among Line Segments
• Congruence of Angle
• Congruence of Triangle
• Criteria For Congruence of Triangle

Congruence of Plane Figures

The superposition method can be employed to apply the concept of congruence to plane figures. Two plane figures can be placed one over the other to make a traced copy of it. The plane figures are congruent if they entirely enclose one another.

If figure F1 is congruent to figure F2, then we can write F1 ≅ F2.

Congruence Among Line Segments

Two line segments are congruent if their lengths are the same (i.e., equal). In addition, two congruent line segments have the same length.

If two line segments are congruent, we can write that the lines are congruent to one another.

Congruence of Angle

Two angles are congruent if they have the same measure. Additionally, the measurements of two angles that are congruent are the same.

The congruence of angles completely depends on the equality of their measures, much like in the case of line segments. As a result, in some cases, we only declare that two angles are equal to say that they are congruent.

Hence, we can write,

∠ABC = ∠PQR (to mean ∠ABC ≅ ∠PQR).

Congruence of Triangle

Two line segments that are identical copies of one another are shown to be congruent. Similarly, two angles are identical if they are copies of one another. This concept is expanded to triangles.

Thus, if two triangles are identical duplicates of one another and are superimposed, they are congruent. They completely shield one another. If two triangles are congruent, we may write ABC ↔ QPR.

Criteria For Congruence of Triangle

• SSS (side, side, side) Congruence Criterion: The triangles are said to be congruent if, under a specific correspondence, the three sides of one triangle are the same as the three corresponding sides of another triangle.
• SAS (side, angle, side) Congruence Criterion: Triangles are said to be congruent if, under a correspondence, two of a triangle’s sides and the angle that connects them are equal to two of another triangle’s sides and the angle that connects them.
• ASA (angle, side, angle) Congruence Criterion: Triangles are congruent if, under a correspondence, two angles and the included side of one triangle equal two comparable angles and the included side of another triangle.
• RHS (right angle, hypotenuse, side) Congruence Criterion: The hypotenuse and one side of one right-angled triangle must match the hypotenuse and one side of another right-angled triangle in order for the triangles to be considered congruent.

1. What are the main topics that need to be covered in the chapter “Congruence of Triangles”?

The main topics that need to be covered are as follows.

• Congruence of Angle
• Congruence of Triangle
• Congruence of Plane Figures
• Congruence Among Line Segments
• Criteria For Congruence of Triangle

2. What are the criteria for the congruence of a triangle?

There are four types of criteria. These are as follows: SSS, SAS, ASA, and RHS.

3. What is congruence?

Identical line segments that are identical copies of one another are called congruent.