## NCERT Solutions for Class 7 Maths Chapter 7: Complete Resource on Congruence of Triangles - FREE PDF Download

## FAQs on NCERT Solutions for Class 7 Maths Chapter 7 - Congruence Of Triangles

1. Explain the Properties of Angles.

The properties of angles are:

Vertically opposite angles are equal.

If the sum of two adjacent angles is 180

^{0}, then they are said to form a linear pair.When two parallel lines are intersected by a transversal, then alternate angles are equal and corresponding angles are equal.

The sum of interior opposite angles on the same side of the transversal is 180

^{0}.In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of its legs.

2. Choose the Correct Answer and Fill in the Blanks:

Two angles are said to be congruent, if they have _______________. (equal measures / equal sides)

Two plane figures are congruent, if they have_______________. (same shape/ same shape and same size)

Two line-segments are congruent, if they are ____________ to each other. (parallel / equal)

In Δ P̅Q̅R̅, the side _______________ is included between ∠Q and ∠R. (PQ / QR)

Solution:

Equal measures

Same shape and size

Equal

Q̅R̅

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Vedantu has developed a very comprehensive study material for all subjects as per the NCERT syllabus. Experienced teachers and subject-experts are a part of the Vedantu team and they are easily accessible on the Vedantu platform to guide the students with their doubts and a better understanding of the concepts. They help students to develop their foundation and also boost confidence in them. The teachers understand their psychology and interact accordingly. Students learning on Vedantu have shown drastic improvement in their overall performance.

4. Explain the concept of congruence properties of triangles?

Triangles have a lot of crucial qualities, despite how simple their form and understanding appear. Congruence is one of these properties of triangles, which is covered in NCERT Solutions for Class 7. Triangles are congruent. When two objects are stated to be congruent, it simply indicates that they are identical. If the lengths of two line segments are the same, they can be congruent. Angles are no exception to this rule. It can also be similarly applied to triangles. When establishing that two triangles are congruent, there are a few theorems that must be taken into account. In the NCERT Solutions for Chapter 7 of Class 7 Maths, these are logically established and discussed.

5. What all things students will get to know after studying Chapter 7 of Class 7 Maths?

Students will appreciate the usefulness of superposition after going through the fundamental ideas of congruence outlined in this chapter. Superposition is a useful means of assessing whether any two-plane figures are congruent. Students can try applying the congruence requirements for line segments, angles, and triangles to different planar figures after learning about them. Vedantu has all the concepts in the form of pdf. You can download all the solutions and use them for exam purposes from the Vedantu app as well. All the resources are free of cost.

6. What topics are covered in Chapter 7 of Class 7 Maths and how many questions are there?

Starting with the principles of lines, angles, and triangles congruence, the Class 7 Maths NCERT Solutions Chapter 7 tackles the notion of congruence with the use of practical examples and activities. The SSS, SAS, and ASA congruence theorems, which constitute the foundation for proving triangles congruent, are thoroughly addressed, as is the RHS congruence of right-angles. Chapter 7 Congruence of Triangles of Class 7 Mathematics ensures that all of the congruence ideas are covered in 14 questions, 12 of which are quite straightforward and include a few fill-in-the-blank questions, while the remaining two require the students to draw figures and solve the problems.

7. How can students make full use of NCERT Solutions for Chapter 7 of Class 7 Maths?

The NCERT Solutions Class 7 Maths Chapter 7 congruence of triangles exercise questions are deliberately constructed to cover the congruence phenomena in all feasible ways with demonstrations of lines, angles, and various sorts of triangles. As a result, students should make full use of these practice questions by extensively practicing them, as this will aid them in tackling other similar types of questions that may appear in exams with comparable patterns.

8. State the important theorems of Chapter 7 of Class 7 Maths.

Two triangles are congruent if they tend to obey the Side-Side-Side(SSS), Side-Angle-Side(SAS), and Angle-Side-Angle(ASA) theorem hypothesis. The two triangles are congruent if the three sides of one are equal to the three sides of the other, according to SSS. Similar precepts apply to SAS and ASA as well.

Congruence of Right-Angled Triangles: They are congruent if the hypotenuse and a leg of one of the right-angled triangles are equal to the hypotenuse and the corresponding leg of the other triangle under a certain correspondence.