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 ā P and PQ = PR. Then āPRS and āPQS 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 āABC and āDBC are on the same base BC, AB = DC and AC = DB (In fig.), then which of the following gives a congruence relationship? (a) ā ABC ā ā DBC (b) ā ABC ā āCBD (c) ā ABC ā ā DCB (d) ā ABC ā āBCD

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

(a) Ć*A*

(b) Ć*B*

(c) Ć*C*

(d) none of these

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

(a) Ć*A*

(b) Ć*B*

(c) Ć*C*

(d) none of these

**Section – B**

6. If āDEF ā āBCA, write the parts of āBCA that correspond to (i) ā E (ii) EF

(iii) ā F

(iv) DF

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

(i) State the three pairs of equal parts

in āABD and āCBD.

(ii) Is āABD ā āCBD? Why or why not?

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

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

(i) āABC ā āABD (ii) āABC ā āBAD.

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:

āABC āPQR

**(i)** ā B = 90Ā°, ā P = 90Ā°,

AC = 8 cm, PR = 3 cm,

PR = 3, cm, QR = 8 cm

**(ii)** ā A = 90Ā°, ā Q = 90Ā°,

AC = 5 cm, PR = 8 cm,

BC = 9 cm, PQ = 5 cm.

**Section – C**

10. You want to show that āART ā āPEN,

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

(i) AR =

(ii) RT =

(b) If it is given that ā T = ā 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 āABC such that BD =CE.

(i) State the three pairs of equal parts in āCBDand āBCE.

(ii) Is āCBD ā āBCE? Why or why not?

(iii) Is ā DCB = ā 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.

āDEF āPQR

**(i)** ā D = 60Āŗ, ā Q = 60Āŗ,

ā F = 80Āŗ, ā R = 80Āŗ,

DF = 5 cm QR = 5 cm

**(ii)** ā D = 60Āŗ, ā Q = 60Āŗ,

ā F = 80Āŗ, ā R = 80Āŗ,

DF = 6 cm QP = 6 cm

**(iii)** ā E = 80Āŗ, ā P = 80Āŗ,

ā F = 30Āŗ, ā R = 30Āŗ,

EF = 5 cm, PQ = 5 cm.

**Section ā D**

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

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

(ii) Is āBAC ā āDAC? Give reasons.

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

(iv) Is CD = CB? Give reasons.

14. You have to show that āAMP ā āAMQ. In the following proof, supply the missing reasons.

Steps Reasons

(i) PM = QM (i)ā¦ā¦ā¦.

(ii) ā PMA = ā QMA (ii)ā¦ā¦ā¦..

(iii) AM = AM (iii)ā¦ā¦ā¦..

(iv) āAMP ā āAMQ (iv)ā¦ā¦ā¦ā¦