We have compiled the NCERT MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 7 Maths with Answers on a daily basis and score well in exams. Refer to the Congruence of Triangles Class 7 MCQs Questions with Answers here along with a detailed explanation.
Congruence of Triangles Class 7 MCQs Questions with Answers
Choose the correct option.
Question 1.
For two given triangles ABC and PQR, how many matching are possible?
(a) 2
(b) 3
(c) 4
(d) 6
Answer
Answer: (d) 6
Question 2.
It ∆ABC ≅ ∆PQR then \(\bar{AB}\) is equal to
(a) \(\bar{PQ}\)
(b) \(\bar{OR}\)
(c) \(\bar{RP}\)
(d) none of these
Answer
Answer: (a) \(\bar{PQ}\)
Question 3.
In the given figure, if AB = AC and BD = DC then ∠ADC =
(a) 45°
(b) 60°
(c) 125°
(d) 90°
Answer
Answer: (d) 90°
Question 4.
By which congruence property, the two triangles given are congruent?
(a) S.S.S Property
(b) R.H.S Property
(c) A. S.A Property
(d) S.A.S Property
Answer
Answer: (a) S.S.S Property
Question 5.
If ∆ABC ≅ ∆PQR, then the value of ∠A is
(a) 35°
(b) 55°
(c) 90°
(d) 45°
Answer
Answer: (d) 45°
Question 6.
Which of the following rules of congruency says that ∆ABC ≅ ∆PQR ?
(a) RHS
(b) SSS
(c) ASA
(d) SAS
Answer
Answer: (b) SSS
Question 7.
Which of the following rules of congruency says that ∆ABC ≅ ∆PQR?
(a) ASA
(b) SAS
(c) SSS
(d) RHS
Answer
Answer: (c) SSS
Question 8.
Which congruence criterion do you use in the following?
Given EB = DB
AE = BC
∠A = ∠C = 90°
so ∆AEB ≅ ∆CDB
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Answer
Answer: (d) RHS
Question 9.
Complete the congruence statement ∆BCA ≅
(a) ∆BTA
(b) ∆BAT
(c) ∆ABT
(d) ∆ATB
Answer
Answer: (a) ∆BTA
Question 10.
Complete the congruence statement ∆QRS ≅ ?
(a) ∆TQP
(b) ∆TPQ
(c) ∆QTP
(d) ∆QPT
Answer
Answer: (d) ∆QPT
Question 11.
Number of elements of a triangle is:
(a) 2
(b) 3
(c) 4
(d) 6
Answer
Answer: (d) 6
Question 12.
Two figures are said to be congruent, if they have exactly the same:
(a) length and width
(b) shape and size
(c) area
(d) perimeter
Answer
Answer: (b) shape and size
Fill in the blanks
Question 1.
If ∆ABC is congruent to ∆PQR such that ∠PQR = 125° then the measure of ∠ABC = …………………
Answer
Answer: 125°
Question 2.
In ∆ABC and ∆DEF, ∠B = ∠E, ∠B = ∠E and AC = DF then ∆ABC ………………… ∆DEF.
Answer
Answer: ≅
Question 3.
If ∆PQR ≅ ∆XYZ and XY = 9 m, YZ = 5 cm. then the length of PQ = ……………….
Answer
Answer: 9m
Question 4.
In ∆PQR, the included angle between QR and PR is ……………….
Answer
Answer: ∠R
Question 5.
Two rectangles are congruent if they have the same …………….. and ………………..
Answer
Answer: length, breadth
Question 6.
If ∆ABC ≅ ∆DEF, then
(i) ∠A = ……………..
(ii) \(\bar{AB}\) = ………………….
Answer
Answer:
(i) ∠D
(ii) \(\bar{DE}\)
Question 7.
If ∆PQR ≅ ∆BAC, then
(i) ∠A = …………… [∠P/∠Q]
(ii) \(\bar{RQ}\) = ………………. (\(\bar{CA}\)/\(\bar{AB}\))
Answer
Answer:
(i) ∠Q
(ii) \(\bar{CA}\)
Question 8.
If ∆XYZ ≅ ∆GDF, then
(i) Vertex X corresponds to vertex ……………
(ii) Side \(\bar{YZ}\) = Side …………………
Answer
Answer:
(i) G
(ii) \(\bar{DF}\)
Question 9.
If ∆PQR ≅ ∆OMN, then
(i) ∠P = ……………
(ii) \(\bar{RP}\) = ……………..
Answer
Answer:
(i) ∠O
(ii) \(\bar{NO}\)
Question 10.
In ∆PQR, the included side between ∠P and ∠Q is ……………….
Answer
Answer: \(\bar{PQ}\)
Question 11.
In ∆ABC, the included angle between \(\bar{AC}\) and \(\bar{BC}\) is ……………….
Answer
Answer: ∠C
Question 12.
Two angles are said to be congruent, if they have ………………… [equal measures/equal sides]
Answer
Answer: equal measures
Question 13.
Two plane figures are congruent, if they have …………………. [same shape/same shape and size]
Answer
Answer: same shape and size
Question 14.
Two squares are congruent if they have the same ……………..
Answer
Answer: length
Question 15.
Two rectangles are congruent if they have the same ……………….
Answer
Answer: length and same breadth
Question 16.
When two angles and the included side of one triangle are respectively equal to two angles and the included side of another triangle. This is called the …………………….. congruence of triangles.
Answer
Answer: ASA
Question 17.
When two sides and the included angle of one triangle are respectively equal to two sides and the included angle of another triangle, the triangles are congruent. This is known as the ……………….. congruence of triangles.
Answer
Answer: SAS
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