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Class 7 Maths Chapter 7 MCQ With Answers
Maths Class 7 Chapter 7 MCQs On Congruence of Triangles
Question 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) SSS congruence of two triangles
Question 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) SAS congruence of two triangles
Question 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) ASA congruence of two triangles
Question 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) RHS congruence of two right-angled triangles
Question 5.
For two given triangles ABC and PQR, how many matchings are possible?
(a) 2
(b) 4
(c) 6
(d) 3
Answer
Answer: (c) 6
Hint:
ABC ↔ PQR, ABC ↔ PRQ,
ABC ↔ QRP, ABC ↔ QPR,
ABC ↔ RPQ, ABC ↔ RQP.
Question 6.
The symbol for congruence is
(a) ≡
(b) ≅
(c) ↔
(d) =
Answer
Answer: (b) ≅
Question 7.
The symbol for correspondence is
(a) =
(b) ↔
(c) ≡
(d) ≅
Answer
Answer: (b) ↔
Question 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) \(\overline { PQ } \)
Question 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) \(\overline { QR } \)
Question 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) \(\overline { RP } \)
Question 11.
If ∆ ABC = ∆ PQR, then ∠A corresponds to
(a) ∠P
(b) ∠Q
(c) ∠R
(d) none of these
Answer
Answer: (a) ∠P
Question 12.
If ∆ ABC = ∆ PQR, then ∠B corresponds to
(a) ∠P
(b) ∠Q
(c) ∠R
(d) none of these
Answer
Answer: (b) ∠Q
Question 13.
If ∆ ABC= ∆ PQR, then ∠C corresponds to
(a) ∠P
(b) ∠Q
(c) ∠R
(d) none of these
Answer
Answer: (c) ∠R
Question 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) AT = PN
Question 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) PN = AT
Question 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) ∠T = ∠N
Question 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) SSS
Question 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) SAS
Question 19.
Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (c) ASA
Question 20.
Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (d) RHS
Question 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) ∆ WON
Question 22.
Complete the congruence statement ∆ BCA = ?
(a) ∆ BTA
(b) ∆ BAT
(c) ∆ ABT
(d) ∆ ATB
Answer
Answer: (a) ∆ BTA
Question 23.
Complete the congruence statement ∆ QRS
(a) ∆ TPQ
(b) ∆ TQP
(c) ∆ QTP
(d) ∆ QPT
Answer
Answer: (a) ∆ TPQ
Question 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) BC = QR
Question 25.
By which congruence, is ∆ ABC = ∆ FED?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (c) ASA
Hint:
∠B = ∠E, BC = ED, ∠D = ∠C
(By angle sum property of a triangle).
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