# Selina solutions for Concise Mathematics Class 7 ICSE chapter 19 - Congruency: Congruent Triangles [Latest edition]

#### Chapters ## Chapter 19: Congruency: Congruent Triangles

Exercise 19
Exercise 19

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 19 Congruency: Congruent Triangles Exercise 19

Exercise 19 | Q 1.1

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.2

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.3

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.4

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.5

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.6

State, whether the pairs of triangles given in the following figures are congruent or not:  Exercise 19 | Q 1.7

State, whether the pairs of triangles given in the following figures are congruent or not:

Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.

Exercise 19 | Q 2

In the given figure, prove that: ∆ ABD ≅ ∆ ACD Exercise 19 | Q 3

Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
(iii) AC bisects angle DCB Exercise 19 | Q 4

Prove that:
(i) ∆ ABD ≅ ∆ ACD
(ii) ∠B = ∠C Exercise 19 | Q 5

In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED Exercise 19 | Q 6

Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D Exercise 19 | Q 7

In the given figure, prove that: BD = BC. Exercise 19 | Q 8

In the given figure ;
∠1 = ∠2 and AB = AC.
Prove that:
(i) ∠B = ∠C
(ii) BD = DC
(iii) AD is perpendicular to BC. Exercise 19 | Q 9

In the given figure prove that:
(i) PQ = RS
(ii) PS = QR Exercise 19 | Q 10

(i) ∆ XYZ ≅ ∆ XPZ
(ii) YZ = PZ
(iii) ∠YXZ = ∠PXZ Exercise 19 | Q 11

In the given figure, prove that:
(i) ∆ ABC ≅ ∆ DCB
(ii) AC = DB Exercise 19 | Q 12

In the given figure, prove that:
(i) ∆ AOD ≅ ∆ BOC
(iv) ∆ ADB ≅ ∆ BCA Exercise 19 | Q 13

ABC is an equilateral triangle, AD and BE are perpendiculars to BC and AC respectively. Prove that:
(ii) BD = CE Exercise 19 | Q 14

Use the information given in the following figure to prove triangles ABD and CBD are congruent. Also, find the values of x and y. Exercise 19 | Q 15

The given figure shows a triangle ABC in which AD is perpendicular to side BC and BD = CD. Prove that:
(i) ∆ ABD ≅ ∆ ACD
(ii) AB = AC
(iii) ∠B = ∠C ## Chapter 19: Congruency: Congruent Triangles

Exercise 19 ## Selina solutions for Concise Mathematics Class 7 ICSE chapter 19 - Congruency: Congruent Triangles

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 19 Congruency: Congruent Triangles are Concept for Congruence Through Superimposition, Extend Congruence to Simple Geometrical Shapes E.G. Triangles, Circles., Criteria for Congruence of Triangles, Congruence of Triangles.

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