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

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