NCERT Solutions for class 7 Mathematics Chapter 7: Congruence of Triangles

NCERT Solutions for class 7 Mathematics Chapter 7 Congruence of Triangles are provided in the article below. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure. Some of the important topics in Congruence of Triangles chapter include:

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 7 pdf

NCERT Solutions for Class 7 Mathematics Chapter 7

NCERT Solutions for Class 7 Mathematics Chapter 7 Congruence of Triangles is given below.

Class 7 Maths Chapter 7 – Important Topics

Congruence of Triangles: Any two triangles are said to be congruent if all the 3 corresponding sides and angles of triangles are equal in measure. The conditions of congruency are given below.

SSS (Side-Side-Side) – Two triangles are said to be congruent by SSS condition if all three sides are equal.
SAS(Side-Angle-Side) – Two triangles are said to be congruent by SAS condition if their two sides and 1 angle are equal.
ASA(Angle-Side-Angle) – Two triangles are said to be congruent by ASA condition if their two angles and 1 side are equal.
AAS(Angle-Angle-Side) – Two triangles are said to be congruent by AAS condition if their two angles and 1 side are equal.
RHS (Right angle- Hypotenuse-Side) – If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent.

Example: In triangle ABC, if AB=AC and ∠B= 70°, then what is the value of ∠A?

Ans.

In a Δ ABC

AB=AC (Given)

∠B=∠C= 70°, (Angle opposite to equal sides are equal)

As per angle sum property some of 3 angles of a triangle is 180 degrees.

∠A + ∠B +∠C= 180°

∠A+70°+70°= 180°

∠A = 180° – 140°

∠A=40°

NCERT Solutions for Class 7 Maths Chapter 7 Exercises

NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercises are given below.

Read More:

Obtuse Angled Triangle	Circumcentre of a Triangle	Similar Figures
Right Angle Triangle Theorem	Altitude Mean Triangle	Triangle MCQ
Area of Similar Triangles	Cevas Theorem	Basic Proportionality Theorem

Class 7 Study Guides:

NCERT Solutions for Class 7 Maths	Number System	Geometry
Arithmetics	Basic Maths	Maths Formulas

CBSE X Related Questions

1.
It is given that $\triangle ABC \sim \triangle EDF$. Which of the following is not true?
- $\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}$
- $\frac{AB}{ED} = \frac{AC}{EF}$
- $\angle A = \angle D, \angle C = \angle F$
- $\frac{AB + BC}{AC} = \frac{ED + DF}{EF}$
View Solution
2.
There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?
- 144
- 2
- 420
- 272
View Solution
3.
If roots of the quadratic equation $x^2 - k\sqrt{3}x + 2 = 0$ are real and equal, then value of k is
- $-2$
- $\sqrt{\frac{8}{3}}$
- $1$
- $2$
View Solution
4.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are
- $(x + 2), (x - 5)$
- $(x + 5), (x - 2)$
- $(x + 1), (x - 5)$
- $(x - 1), (x + 2)$
View Solution
5.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
- 34
- 43
- 38.5
- 41.5
View Solution
6.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is
- $6$
- $4$
- $\pm 4$
- $3$
View Solution

View All

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NCERT Solutions for Class 7 Mathematics Chapter 14: Symmetry

NCERT Solutions for Class 7 Mathematics Chapter 5: Lines and Angles

NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

NCERT Solutions For Class 7 Science Chapter 15 : Visualizing Solid Shapes

NCERT Solutions For Class 7 Mathematics Chapter 4: Simple Equations

NCERT Solutions for Class 7 Mathematics Chapter 8: Comparing Quantities

NCERT Solutions for class 7 Mathematics Chapter 7: Congruence of Triangles

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 7 pdf

NCERT Solutions for Class 7 Mathematics Chapter 7

Class 7 Maths Chapter 7 – Important Topics

NCERT Solutions for Class 7 Maths Chapter 7 Exercises

CBSE X Related Questions

1.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

2.
There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

3.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

5.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

6.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

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NCERT Solutions for class 7 Mathematics Chapter 7: Congruence of Triangles

​Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 7 pdf

NCERT Solutions for Class 7 Mathematics Chapter 7

Class 7 Maths Chapter 7 – Important Topics

NCERT Solutions for Class 7 Maths Chapter 7 Exercises

CBSE X Related Questions

1.It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

2.There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

3.If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

5.Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

6.In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

Comments

SUBSCRIBE TO OUR NEWS LETTER

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 7 pdf

1.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

2.
There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

3.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

5.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

6.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is