Congruence of Triangles MCQs with answers

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Q. ‘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.’
  • (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
💬 Discuss
✅ Correct Answer: (A) SSS congruence of two triangles
Q. ‘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
💬 Discuss
✅ Correct Answer: (B) SAS congruence of two triangles
Q. ‘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
  • (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
💬 Discuss
✅ Correct Answer: (C) ASA congruence of two triangles
Q. ‘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
  • (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
💬 Discuss
✅ Correct Answer: (D) RHS congruence of two right-angled triangles
Q. For two given triangles ABC and PQR, how many matchings are possible?
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 6
💬 Discuss
✅ Correct Answer: (D) 6
Q. The symbol for congruence is
  • (A)
  • (B)
  • (C)
  • (D) =
💬 Discuss
✅ Correct Answer: (B) ≅
Q. The symbol for correspondence is
  • (A) =
  • (B)
  • (C)
  • (D)
💬 Discuss
✅ Correct Answer: (B) ↔
Q. If ∆ ABC = ∆ PQR, then AB¯¯¯¯¯¯¯¯ corresponds to
  • (A) PQ¯¯¯¯¯¯¯¯
  • (B) QR¯¯¯¯¯¯¯¯
  • (C) RP¯¯¯¯¯¯¯¯
  • (D) none of these
💬 Discuss
✅ Correct Answer: (A) PQ¯¯¯¯¯¯¯¯
Q. If ∆ ABC = ∆ PQR, then BC¯¯¯¯¯¯¯¯ corresponds to
  • (A) PQ¯¯¯¯¯¯¯¯
  • (B) QR¯¯¯¯¯¯¯¯
  • (C) RP¯¯¯¯¯¯¯
  • (D) none of these
💬 Discuss
✅ Correct Answer: (B) QR¯¯¯¯¯¯¯¯
Q. If ∆ ABC = ∆ PQR, then ∠A corresponds to
  • (A) ∠P
  • (B) ∠Q
  • (C) ∠R
  • (D) none of these
💬 Discuss
✅ Correct Answer: (A) ∠P
Q. If ∆ ABC = ∆ PQR, then ∠B corresponds to
  • (A) ∠P
  • (B) ∠Q
  • (C) ∠R
  • (D) none of these
💬 Discuss
✅ Correct Answer: (B) ∠Q
Q. If ∆ ABC= ∆ PQR, then ∠C corresponds to
  • (A) ∠P
  • (B) ∠Q
  • (C) ∠R
  • (D) none of these
💬 Discuss
✅ Correct Answer: (C) ∠R
Q. 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
💬 Discuss
✅ Correct Answer: (A) AT = PN
Q. 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
💬 Discuss
✅ Correct Answer: (A) PN = AT
Q. 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
💬 Discuss
✅ Correct Answer: (A) ∠T = ∠N
Q. 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
💬 Discuss
✅ Correct Answer: (A) SSS
Q. Which congruence criterion do you use in the following?
  • (A) SSS
  • (B) SAS
  • (C) ASA
  • (D) RHS
💬 Discuss
✅ Correct Answer: (C) ASA
Q. 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
💬 Discuss
✅ Correct Answer: (A) ∆ WON
Q. By which congruence, is ∆ ABC = ∆ FED?
  • (A) SSS
  • (B) SAS
  • (C) ASA
  • (D) RHS
💬 Discuss
✅ Correct Answer: (C) ASA
Q. 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
💬 Discuss
✅ Correct Answer: (A) BC = QR
Q. Complete the congruence statement ∆ QRS
  • (A) ∆ TPQ
  • (B) ∆ TQP
  • (C) ∆ QTP
  • (D) ∆ QPT
💬 Discuss
✅ Correct Answer: (A) ∆ TPQ
Q. Complete the congruence statement ∆ BCA = ?
  • (A) ∆ BTA
  • (B) ∆ BAT
  • (C) ∆ ABT
  • (D) ∆ ATB
💬 Discuss
✅ Correct Answer: (A) ∆ BTA

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Table of contents

  1. ‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal
  2. ‘Under a given correspondence, two triangles are congruent if two sides and the angle included bet
  3. ‘Under a given correspondence, two triangles are congruent if two angles and the side included bet
  4. ‘Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a le
  5. For two given triangles ABC and PQR, how many matchings are possible?
  6. The symbol for congruence is
  7. The symbol for correspondence is
  8. If ∆ ABC = ∆ PQR, then AB¯¯¯¯¯¯¯¯ corresponds to
  9. If ∆ ABC = ∆ PQR, then BC¯¯¯¯¯¯¯¯ corresponds to
  10. If ∆ ABC = ∆ PQR, then ∠A corresponds to
  11. If ∆ ABC = ∆ PQR, then ∠B corresponds to
  12. If ∆ ABC= ∆ PQR, then ∠C corresponds to
  13. We want to show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN
  14. We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠ T = ∠ N, RT = EN
  15. We want to show that ∆ ART = ∆ PEN. We have to use ASA criterion. We have AT = PN, ∠ A = ∠ P
  16. Which congruence criterion do you use in the following? Given AC = DF AB = DE BC = EF So, ∆ AB
  17. Which congruence criterion do you use in the following?
  18. In the following figure, the two triangles are congruent. The corresponding parts are marked. We can
  19. By which congruence, is ∆ ABC = ∆ FED?
  20. If ∆ ABC and ∆ PQR are to be congruent, name one additional pair of corresponding parts
  21. Complete the congruence statement ∆ QRS
  22. Complete the congruence statement ∆ BCA = ?