R d sharma solutions mathematics class 9 Solutions for Chapter 10 congruent triangles

Exercises in Chapter 10 congruent triangles Grade 9

Congruent Triangles Exercise 10.1

Congruent Triangles Exercise 10.2

Congruent Triangles Exercise 10.3

Congruent Triangles Exercise 10.5

Congruent Triangles Exercise 10.6

Questions in Congruent Triangles Exercise 10.1

In figure, the sides BA and CA have been produced such that BA = AD and CA = AE. Prove that segment DE ∥ BC.

In a PQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP respectively. Prove that LN = MN.

In figure, PQRS is a square and SRT is an equilateral triangle. Prove that

(i) PT = QT

(ii) ∠ TQR = $15^0$

In a Δ ABC, if ∠A = $20^0$ and AB = AC. Find ∠B and ∠C

Questions in Congruent Triangles Exercise 10.2

In figure, it is given that RT = TS, ∠ 1 = 2 ∠ 2 and ∠4 = 2(∠3). Prove that ΔRBT ≅ ΔSAT

Questions in Congruent Triangles Exercise 10.3

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, calculate the angles of the triangle.

Questions in Congruent Triangles Exercise 10.5

ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. Prove that the triangle is isosceles.

Questions in Congruent Triangles Exercise 10.6

In Δ ABC, side AB is produced to D so that BD = BC. If ∠ B = 60° and ∠ A = 70°. Prove that: (i) AD > CD (ii) AD > AC

Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm?

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Chapters in this book

Number System

Exponents Of Real Numbers

Rationalisation

Algebraic Identities

Factorization Of Algebraic Expressions

Factorization Of Polynomials

Introduction To Euclid’s Geometry

Lines And Angles

Triangle And Its Angles

Congruent Triangles

Coordinate Geometry

Herons Formula

Linear Equations In Two Variables

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Constructions

Surface Area And Volume Of A Cuboid And Cube

Surface Area And Volume Of a Right Circular Cylinder

Surface Area And Volume Of a Right Circular Cone

Surface Area And Volume Of Sphere

Tabular Representation Of Statistical Data

Graphical Representation Of Statistical Data

Measures Of Central Tendency

Probability