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.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.
View Solution
2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.
View Solution
3.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$
View Solution
4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is
- $1$
- $-5$
- $25$
- $\sqrt{5}$
View Solution
5.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
View Solution
6.
Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is
- $\frac{5}{12}$
- $\frac{5}{6}$
- $1$
- $0$
View Solution

View All

Mathematics Preparation Guides

Area of a Triangle: Formula, Types & Examples

Isosceles Triangle Theorems: Proof and Sample Questions

How to Calculate Percentage: Formula, Basic Tricks, Solved Examples

Difference Between Area and Perimeter: Definitions & Formulas

Area of Square Using Diagonal: Formula, Relation & Derivation

Additive Inverse: Formula, Properties, Fraction & Complex Numbers

BODMAS Rule: Definition, Rules and Sample Questions

Isosceles Right Triangle: Formulas, Pythagoras Theorem and Area

Unitary Method: Steps, Types of Unitary Method, Solved Examples

Triangle Theorems: Properties, Types & Similarity Theorems

Percentage: Formula, Conversions and Examples

Area of Isosceles Triangle: Formula, Properties & Examples

Area and Perimeter: Definition, Formulas & Examples

Commutative Property: Formula, Properties, Sample Questions

Perimeter of a Trapezoid Formula: Perimeter, Quadrilateral, Polygons

Interest Formula: Simple and Compound Interest, Differences

Percentage Formula: How to Calculate Percentage?

Difference Between In Maths: Comparison Articles

Percentage Change, Percent Decrease Formula, Sample Questions

Percentage Change Formula: Solved Examples

Mathematics NCERT Solutions

Difference Between Cube and Cuboid: Explanation and Examples

Triangle Inequality Theorem: Mechanism and Proof

NCERT Solutions for Class 7 Mathematics Chapter 1: Integers

NCERT Solutions for Class 7 Mathematics Chapter 10: Practical Geometry

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.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

3.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

6.
Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

Comments

SUBSCRIBE TO OUR NEWS LETTER

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.Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

2.A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

3.Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

4.The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

6.Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

Comments

SUBSCRIBE TO OUR NEWS LETTER

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

1.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

3.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

6.
Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is