Congruence of Triangles NCERT Maths Class 7 Quiz1 Chapter 7

1. The objects, which are exact copies of one another are called?

Similar
Congruent
Same
Equal

2. Which of the following statement(s) is/are true:
1. If two line segments have the same (i.e., equal) length, they are congruent.
2. If two line segments are congruent, they have the same length.

Only 1
Only 2
Both 1 and 2
None of the above

3. ∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP. Write the parts of ∆ABC that correspond to
(i)PQ
(ii) ∠Q
(iii) RP

(i) PQ ↔ CB (ii) ∠Q ↔ ∠B and (iii) RP ↔ AC
(i) PQ ↔ BC (ii) ∠Q ↔ ∠B and (iii) RP ↔ AC
(i) PQ ↔ CB (ii) ∠Q ↔ ∠B and (iii) RP ↔ CA
(i) PQ ↔ BC (ii) ∠Q ↔ ∠B and (iii) RP ↔ CA

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

20°
30°
70°
110°

5. If ∆DEF ≅ ∆BCA, then which part(s) of ∆BCA correspond to ∠E and ∠F?

∠A and ∠C
∠C and ∠A
∠C and ∠B
∠B and ∠A

6. Which of the following statement(s) is/are true:
1. If two angles have the same measure, they are congruent.
2. If two angles are congruent, their measures are same.

Only 1
Only 2
Both 1 and 2
None of the above

7. If under a given correspondence, the three sides of one triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent and it is called ______ Congruence criterion.

AAA
ASA
SSS
SAS

8. In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not. If yes, write the congruence relation in symbolic form.

Yes, ∆ABC ≅ ∆RPQ
No
Yes, ∆ABC ≅ ∆PRQ
Yes, ∆BAC ≅ ∆PRQ

9. In Below Figure, if AD = CD and AB = CB then is ∆ABD ≅ ∆CBD? Why or why not?

Yes, SSS Congruence
No, 3rd side not equal
No, 3rd side is common
No

10. In Figure of question 9, if AD = CD and AB = CB then does BD bisect ∠ABC?

No
Yes, Congruence Property
It does not bisect
NA

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