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

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:

1. ∆ ABD ≅ ∆ ACD
2. ∠B = ∠C
3. ∠ADB = ∠ADC
4. ∠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