#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

## Chapter 19: Congruency: Congruent Triangles

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

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

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

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

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

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

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

**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°.

In the given figure, prove that: ∆ ABD ≅ ∆ ACD

**Prove that:**

(i) ∆ ABC ≅ ∆ ADC

(ii) ∠B = ∠D

(iii) AC bisects angle DCB

**Prove that:**(i) ∆ ABD ≅ ∆ ACD

(ii) ∠B = ∠C

(iii) ∠ADB = ∠ADC

(iv) ∠ADB = 90°

**In the given figure, prove that:**

(i) ∆ ACB ≅ ∆ ECD

(ii) AB = ED

**Prove that:**

(i) ∆ ABC ≅ ∆ ADC

(ii) ∠B = ∠D

In the given figure, prove that: BD = BC.

In the given figure ;

∠1 = ∠2 and AB = AC. **Prove that:**

(i) ∠B = ∠C

(ii) BD = DC

(iii) AD is perpendicular to BC.

**In the given figure prove that:**

(i) PQ = RS

(ii) PS = QR

(i) ∆ XYZ ≅ ∆ XPZ

(ii) YZ = PZ

(iii) ∠YXZ = ∠PXZ

**In the given figure, prove that:**

(i) ∆ ABC ≅ ∆ DCB

(ii) AC = DB

**In the given figure, prove that:**

(i) ∆ AOD ≅ ∆ BOC

(ii) AD = BC

(iii) ∠ADB = ∠ACB

(iv) ∆ ADB ≅ ∆ BCA

ABC is an equilateral triangle, AD and BE are perpendiculars to BC and AC respectively. Prove that:**(i) **AD = BE**(ii) **BD = CE

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

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

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

Selina solutions for Concise Mathematics Class 7 ICSE chapter 19 (Congruency: Congruent Triangles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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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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