Selina solutions concise mathematica class 7 icse Solutions for Chapter 19 congruency congruent triangles

Exercises in Chapter 19 congruency congruent triangles Grade 7

Exercise 19

Questions in Exercise 19

Q1) State, whether the pairs of triangles given in the following figures are congruent or not:

Q2) In the given figure, prove that: ∆ABD ≅ ∆ ACD

Q3) Prove that:

(i) ∆ABC ≡∆ADC (ii) ∠B = ∠D (iii) AC bisects angle DCB

Q4) Prove that:

(i) ∆ABD ≡ ∆ACD (ii) ∠B = ∠C

(iii) ∠ADB = ∠ADC (iv) ∠ADB = 90°

Q5) In the given figure, prove that:

(i) ∆ACB ≅ ∆ECD (ii) AB = ED

Q6) Prove that: (i) ∆ ABC ≅ ∆ ADC (ii) ∠B = ∠D

Q7) In the given figure, prove that: BD = BC.

Q8) In the given figure ; ∠1 = ∠2 and AB = AC. Prove that:

(i) ∠B = ∠C

(ii) BD = DC

(iii) AD is perpendicular to BC.

Q9) In the given figure prove tlyat: (i) PQ = RS (ii) PS = QR

Q10) (i) ∆ XYZ ≅ ∆ XPZ

(ii) YZ = PZ

(iii) ∠YXZ = ∠PXZ

Q11) In the given figure, prove that:

(i) ∆ABC ≅ ∆ DCB (ii) AC=DB

Q12) In the given figure, prove that:

(i) ∆ AOD ≅ ∆ BOC

(ii) AD = BC

(iii) ∠ADB = ∠ACB

(iv) ∆ADB ≅ ∆BCA

Q13) ABC is an equilateral triangle, AD and BE are perpendiculars to BC and AC respectively. Prove that:

(i) AD = BE

(ii) BD = CE

Q14) Use the information given in the following figure to prove triangles ABD and CBD are congruent. Also, find the values of x and y.

Q15) 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

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Chapters in this book

Integers

Rational Numbers

Fractions (Including Problems)

Decimal Fractions (Decimals)

Exponents (including Laws of Exponents)

Ratio and Proportion (Including Sharing in a Ratio)

Unitary Method (including Time and Work)

Percent and Percentage

Profit, Loss and Discount

Simple Interest

Fundamental Concepts (Including Fundamental Operations)

Simple Linear Equations (Including Word Problems)

Set Concepts (Some Simple Divisions by Vedic Method)

Lines and Angles (Including Construction of angles)

Triangles

Pythagoras Theorem

Symmetry (Including Reflection and Rotation)

Recognition of Solids (Representing 3-D in 2-D)

Congruency: Congruent Triangles

Mensuration

Data Handling

Probability

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