# Class 7 Maths Chapter 7 Test Paper Set-1 Pdf Download CBSE

Test Paper Of Class 7 Maths Chapter 7 Coungrence Of Triangle

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**Chapter 7 Test Paper (01)**

## Class 7 Maths Chapter 7 Coungrence Of Triangle Test Paper Set-1 Text Form:-

**SAMPLE PAPER (01)**

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 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. Which one of the following is not a criterion for congruence of two triangles?

(a) ASA

(b) SSA

(c) SAS

(d) SSS

2. By which congruency criterion, the two triangles are congruent?

(a) RHS

(b) SSS

(c) ASA

(d) SAS

3. If ∆PQR is congruent to ∆STU then what is the length of TU?

(a) 5 cm

(b) 6 cm

(c) 7 cm

(d) cannot be determined

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 part(s) of ∆BCA that correspond to

(i) ∠E (ii) EF

(iii) ∠F (iv) DF

7. In Fig, DA ⊥AB, CB ⊥ AB and AC = BD. State the three pairs of equal parts in ∆ABC and ∆DAB. Which of the following statements is meaningful?

(i) ∆ABC ≅ ∆BAD

(ii) ∆ABC ≅ ∆ABD

8. Complete the congruence statement:

∆BCA ≅ ?

∆QRS ≅ ?

9. You want to show that ∆ART ≅ ∆PEN,

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

(i) AR =

(ii) RT =

**Section – C**

10. ∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP Write the parts of ∆ABC that correspond to

(i)PQ

(ii) ∠Q

(iii) RP

11. Complete the following statements:

(a) Two line segments are congruent if ___________.

(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is ___________.

(c) When we write ∠A = ∠B, we actually mean ___________

12.Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC ∆DEF

**(a)** AB = 7 cm, DE = 5 cm,

BC = 5 cm, EF = 7 cm,

∠B = 50° ∠E = 50°

**(b)** AB = 4.5 cm, FD = 4.5 cm,

AC = 4 cm, DE = 4 cm,

∠A = 60° ∠D = 55°

**(c)** BC = 6 cm, DF = 4 cm,

AC = 4 cm, EF = 6 cm,

∠B = 35° ∠E = 35°

13. Observe In fig. and state the three pairs of equal parts in triangles ABC and DBC.

(i) Is ∆ABC ≅ ∆DCB? Why?

(ii) Is AB = DC? Why?

(iii) Is AC = DB? Why?

**Section – D**

14. ∆ABC is an isosceles triangle with AB = AC and AD is one of its altitudes

(i) State the three pairs of equal parts in ∆ADB and ∆ADC.

(ii) Is ∆ADB ≅ ∆ADC? Why or why not?

(iii) Is ∠B = ∠C? Why or why not?

(iv) Is BD = CD? Why or why not?

15. In each of the given pairs of triangles using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic