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Congruence of Triangles Class 7 Maths MCQs Pdf
1. ‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.’
The above is known as
(a) SSS congruence of two triangles
(b) SAS congruence of two triangles
(c) ASA congruence of two triangles
(d) RHS congruence of two right-angled triangles
Answer
Answer: (a)
2. ‘Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.’
The above is known as
(a) SSS congruence of two triangles
(b) SAS congruence of two triangles
(c) ASA congruence of two triangles
(d) RHS congruence of two right-angled triangles
Answer
Answer: (b)
3. ‘Under a given correspondence, two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle.’
The above is known as
(а) SSS congruence of two triangles
(b) SAS congruence of two triangles
(c) ASA congruence of two triangles
(d) RHS congruence of two right-angled triangles
Answer
Answer: (c)
4. ‘Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.’
The above is known as
(а) SSS congruence of two triangles
(b) SAS congruence of two triangles
(c) ASA congruence of two triangles
(d) RHS congruence of two right-angled triangles
Answer
Answer: (d)
5. For two given triangles ABC and PQR, how many matchings are possible?
(a) 2
(b) 4
(c) 6
(d) 3
Answer/Explanation
Answer: (c)
Explanation : ABC ↔ PQR, ABC ↔ PRQ,
ABC ↔ QRP, ABC ↔ QPR,
ABC ↔ RPQ, ABC ↔ RQP.
6. The symbol for congruence is
(a) ≡
(b) ≅
(c) ↔
(d) =
Answer
Answer: (b)
7. The symbol for correspondence is
(a) =
(b) ↔
(c) ≡
(d) ≅
Answer
Answer: (b)
8. If ∆ ABC = ∆ PQR, then \(\overline { AB } \) corresponds to
(a) \(\overline { PQ } \)
(b) \(\overline { QR } \)
(c) \(\overline { RP } \)
(d) none of these
Answer
Answer: (a)
9. If ∆ ABC = ∆ PQR, then \(\overline { BC } \) corresponds to
(a) \(\overline { PQ } \)
(b) \(\overline { QR } \)
(c) \(\overline { RP } \)
(d) none of these
Answer
Answer: (b)
10. If ∆ ABC = ∆ PQR, then \(\overline { CA } \) corresponds to
(a) \(\overline { PQ } \)
(b) \(\overline { QR } \)
(c) \(\overline { RP } \)
(d) none of these
Answer
Answer: (c)
11. If ∆ ABC = ∆ PQR, then ∠A corresponds to
(a) ∠P
(b) ∠Q
(c) ∠R
(d) none of these
Answer
Answer: (a)
12. If ∆ ABC = ∆ PQR, then ∠B corresponds to
(a) ∠ P
(b) ∠ Q
(c) ∠ R
(d) none of these
Answer
Answer: (b)
13. If ∆ ABC= ∆ PQR, then ∠C corresponds to
(a) ∠ P
(b) ∠ Q
(c) ∠ R
(d) none of these
Answer
Answer: (c)
14. We want to show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?
(a) AT = PN
(b) AT = PE
(c) AT = EN
(d) none of these
Answer
Answer: (a)
15. We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠ T = ∠ N, RT = EN. What more we need to show?
(a) PN = AT
(b) PN = AR
(c) PN = RT
(d) None of these
Answer
Answer: (a)
16. We want to show that ∆ ART = ∆ PEN. We have to use ASA criterion. We have AT = PN, ∠ A = ∠ P. What more we need to show?
(a) ∠T = ∠N
(b) ∠T = ∠E
(c) ∠T = ∠P
(d) None of these
Answer
Answer: (a)
17. Which congruence criterion do you use in the following?
Given AC = DF
AB = DE
BC = EF
So, ∆ ABC ≅ ∆ DEF
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (a)
18. Which congruence criterion do you use in the following?
Given : ZX = RP
RQ = ZY
∠ PRQ = ∠ XZY
So, ∆ PRQ = ∆ XYZ
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (b)
19. Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (c)
20. Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (d)
21. In the following figure, the two triangles are congruent. The corresponding parts are marked. We can write ∆ RAT = ?
(a) ∆ WON
(b) ∆ WNO
(c) ∆ OWN
(d) ∆ ONW
Answer
Answer: (a)
22. Complete the congruence statement ∆ BCA = ?
(a) ∆ BTA
(b) ∆ BAT
(c) ∆ ABT
(d) ∆ ATB
Answer
Answer: (a)
23. Complete the congruence statement ∆ QRS
(a) ∆ TPQ
(b) ∆ TQP
(c) ∆ QTP
(d) ∆ QPT
Answer
Answer: (a)
24. If ∆ ABC and ∆ PQR are to be congruent, name one additional pair of corresponding parts
(a) BC = QR
(b) BC = PQ
(c) BC = PR
(d) none of these
Answer
Answer: (a)
25. By which congruence, is ∆ ABC = ∆ FED?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer/Explanation
Answer: (c)
Explanation : ∠B = ∠E, BC = ED, ∠D = ∠C
(By angle sum property of a triangle).
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