# Class 7 Maths Chapter 7 Test Paper Set-2 Pdf Download CBSE

Test Paper Of Class 7 Maths Chapter 7 Coungrence Of Triangle

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**Chapter 7 Test Paper (02)**

## Class 7 Maths Chapter 6 Coungrence Of Triangle Test Paper Set-2 Text Form:-

**SAMPLE PAPER (02)**

**CLASS: 7 MAX. MARKS :30**

SUBJECT: MATHEMATICS TIME: 1:30 HOUR

CH: 7 (**Congruence of Triangles****)**

General Instructions:I. All questions are compulsory.

II. This question paper contains 14 questions divided into four Sections A, B, C and D.

III. Section A has 5 questions of 1 mark each. Section B has 4 questions of 2 marks each. Section C has 3 questions of 3 marks each. and Section D has 2 questions of 4 marks each.

IV. Use of Calculators is not permitted.

**Section-A**

1. In Fig. PS is the bisector of ∠P and PQ = PR. Then ∆PRS and ∆PQS are congruent by the criterion (a) AAA (b) SAS (c) ASA (d) both (b) and (c)

2. By which of the following criterion two triangles cannot be proved congruent? (a) AAA (b) SSS (c) SAS (d) ASA

3. If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (In fig.), then which of the following gives a congruence relationship? (a) ∆ ABC ≅ ∆ DBC (b) ∆ ABC ≅ ∆CBD (c) ∆ ABC ≅ ∆ DCB (d) ∆ ABC ≅ ∆BCD

4. If D *DEF* @ D *BCA *, then the part of D*BCA *that correspond to Ð*E* is

(a) Ð*A*

(b) Ð*B*

(c) Ð*C*

(d) none of these

5. If D *DEF* @ D *ACB *, then the part of D*ACB *that correspond to Ð*F* is

(a) Ð*A*

(b) Ð*B*

(c) Ð*C*

(d) none of these

**Section – B**

6. If ∆DEF ≅ ∆BCA, write the parts of ∆BCA that correspond to (i) ∠E (ii) EF

(iii) ∠F

(iv) DF

7. In fig. AD = CD and AB = CB.

(i) State the three pairs of equal parts

in ∆ABD and ∆CBD.

(ii) Is ∆ABD ≅ ∆CBD? Why or why not?

(iii) Does BD bisect ∠ABC? Give reasons.

8.In Fig, AC = BD and AD = BC. Which of Then following statements is meaningfully written?

(i) ∆ABC ≅ ∆ABD (ii) ∆ABC ≅ ∆BAD.

9. Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using RHS congruence rule. In case of congruent triangles, write the result in symbolic form:

∆ABC ∆PQR

**(i)** ∠B = 90°, ∠P = 90°,

AC = 8 cm, PR = 3 cm,

PR = 3, cm, QR = 8 cm

**(ii)** ∠A = 90°, ∠Q = 90°,

AC = 5 cm, PR = 8 cm,

BC = 9 cm, PQ = 5 cm.

**Section – C**

10. You want to show that ∆ART ≅ ∆PEN,

(a) If you have to use SSS criterion, then you need to show

(i) AR =

(ii) RT =

(b) If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have

(i) RT =

(ii) PN =

(c) If it is given that AT = PN and you are to use ASA criterion, you need to have

(i) ?

(ii) ?

11. In Fig, BD and CE are altitudes of ∆ABC such that BD =CE.

(i) State the three pairs of equal parts in ∆CBDand ∆BCE.

(ii) Is ∆CBD ≅ ∆BCE? Why or why not?

(iii) Is ∠DCB = ∠EBC? Why or why not?

12. Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by ASA congruence rule. In case of congruence, write it in symbolic form.

∆DEF ∆PQR

**(i)** ∠D = 60º, ∠Q = 60º,

∠F = 80º, ∠R = 80º,

DF = 5 cm QR = 5 cm

**(ii)** ∠D = 60º, ∠Q = 60º,

∠F = 80º, ∠R = 80º,

DF = 6 cm QP = 6 cm

**(iii)** ∠E = 80º, ∠P = 80º,

∠F = 30º, ∠R = 30º,

EF = 5 cm, PQ = 5 cm.

**Section – D**

13.In Fig, ray AZ bisects ∠DAB as well as ∠DCB.

(i) State the three pairs of equal parts in triangles BAC and DAC.

(ii) Is ∆BAC ≅ ∆DAC? Give reasons.

(iii) Is AB = AD? Justify your answer.

(iv) Is CD = CB? Give reasons.

14. You have to show that ∆AMP ≅ ∆AMQ. In the following proof, supply the missing reasons.

Steps Reasons

(i) PM = QM (i)……….

(ii) ∠PMA = ∠QMA (ii)………..

(iii) AM = AM (iii)………..

(iv) ∆AMP ≅ ∆AMQ (iv)…………