MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers

Students are advised to solve Congruence of Triangles Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Congruence of Triangles Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Congruence of Triangles Class 7 with answers provided with detailed solutions by looking below.

Question 1.
An angle is of 50° then its congruent angle is of:
(a) 40°
(b) 60°
(c) 50°
(d) None of these

Answer

Answer: (c) 50°
Two congruent angles are same in measurement.


Question 2.
Given two triangles are congruent then we can write :
D:\New folder\MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers
(a) ΔABC ≡ ΔPQR
(b) ΔABC ≡ ΔRPQ
(c) ΔABC ≡ ΔQRP
(d) none of these

Answer

Answer: (b) ΔABC ≡ ΔRPQ
These figures show that the three sides of one triangle are equal to the three sides of the other triangle. So by SSS congruency rule, the two triangles are congruent. It can easily seen that
A <-> R, B <-> P and C <-> Q.


Question 3.
In the given figure, lengths of the sides of the triangles are given. Which pair of triangle are congruent ?
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers
(a) ΔABC ≡ ΔPQR
(b) ΔBCA ≡ ΔPQR
(c) ΔABC ≡ ΔQRP
(d) none of these

Answer

Answer: (a) ΔABC ≡ ΔPQR
By SSS congruency rule


Question 4.
Are the following triangles congruent ?
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 2
(a) yes
(b) no
(c) none of these

Answer

Answer: (b) no
By SSS congruency two triangles are not congruent.


Question 5.
Are the following triangles congruent ?
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 3
(a) yes
(b) no
(c) none of these

Answer

Answer: (b) no
By SAS congruency two triangles are congruent.


Question 6.
In the given figure, say congruency of two triangles.
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 4
(a) ΔAOC ∪ ΔBOD
(b) ΔAOC ≠ ΔBOD
(c) ΔAOC ∪ ΔOBD
(d) none of these

Answer

Answer: (a) ΔAOC ∪ ΔBOD
∠AOC = ∠BOD = 30°. Vertically opposite angles. .’. according to ASA congruency two triangles are congruent.


Question 7.
Given triangles are congruent, then what is the measurement of x ?
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 5
(a) 3
(b) 4
(c) 5
(d) none of these

Answer

Answer: (c) 5
By SSS congruency all the three sides of a triangle are equal.


Question 8.
Given below are measurements of some parts of two triangles. Write the result in symbolic form.
In ΔABC, ∠B = 90°, AC 8 cm AB = 3 cm and
ΔPQR ,∠P = 90°, PR = 3 cm QR = 8 cm
(a) ΔABC ≡ ΔRPQ
(b) ΔABC ≡ ΔPQR
(c) ΔABC ≡ ΔRPQ
(d) none of these

Answer

Answer: (a) ΔABC ≡ ΔRPQ
By RHS congruency two triangles are congruent and according to their corresponding parts.


Question 9.
Given below are measurements of some parts of two triangles. Write the result in symbolic form if they are congruent.
In ΔABC,
∠A = 90°, AC = 5 cm, BC = 9 cm
In APQR,
∠P = 90°, PR = 3 cm QR = 8 cm
(a) are congruent
(b) are not congruent

Answer

Answer: (b) are not congruent
Are not congruent as hypotenuses are not equal.


Question 10.
ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is
(a) AC
(b) AB
(c) BC
(d) None of These

Answer

Answer: (c) BC


Question 11.
ΔABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be
(a) ∠B = ∠C = 30°
(b) ∠B = ∠C = 50°
(c) ∠B = ∠C = 45°
(d) ∠B = ∠C = 60°

Answer

Answer: (c) ∠B = ∠C = 45°


Question 12.
Two students drew a line segment each. What is the condition for them to be congruent?
(a) They should be drawn with a scale.
(b) They should be drawn on the same sheet of paper.
(c) They should have different lengths.
(d) They should have the same length.

Answer

Answer: (d) They should have the same length.


Question 13.
In the quadrilateral ABCD, AC = AD and AB bisect ∠A and ΔABC ≅ ΔABD. The relation between BC and BD is
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 1
(a) BC < BD
(b) BC > BD
(c) BC = BD
(d) None of these

Answer

Answer: (c) BC = BD


Question 14.
A triangle in which all three sides are of equal lengths is called _________.
(a) Isosceles
(b) Equilateral
(c) Scalene
(d) None of these

Answer

Answer: (b) Equilateral


Question 15.
In ΔABC and ΔPQR, AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm. QR = 5 cm. PR = 6 cm. then which of the following is true?
(a) ΔABC ≅ ΔQRP
(b) ΔABC ≅ ΔPQR
(c) ΔABC ≅ ΔRQP
(d) None of these

Answer

Answer: (b) ΔABC ≅ ΔPQR


Question 16.
If the vertical angle of an isosceles triangle is 40°, then measure of other two angles will be
(a) 60°, 60°
(b) 80°, 80°
(c) 70°, 70°
(d) 45°, 45°

Answer

Answer: (c) 70°, 70°


Question 17.
What is the side included between the angles A and B in ΔABC?
(a) AC
(b) BC
(c) AB
(d) None of these

Answer

Answer: (c) AB


Question 18.
What comes next in the sequence: 2, 4, 10, 28, ___ ?
(a) 64
(b) 70
(c) 76
(d) 82

Answer

Answer: (d) 82


Question 19.
What is the angle included between the sides PN and PM of ΔMNP?
(a) ∠M
(b) ∠N
(c) ∠P
(d) None of these

Answer

Answer: (c) ∠P


Question 20.
Which of the following examines the congruence of plane figures?
(a) Trial and error method
(b) Superposition method
(c) Substitution method
(d) Transposition method

Answer

Answer: (b) Superposition method


Question 21.
The measure of each angle of an equilateral triangle is:
(a) 50°
(b) 70°
(c) 60°
(d) 100°

Answer

Answer: (c) 60°


Question 22.
If ΔDEF ≅ ΔBCA, then the part of ΔBCA that correspond to ∠E is
(a) ∠B
(b) ∠C
(c) ∠A
(d) None of these

Answer

Answer: (b) ∠C


Question 23.
Which angle is included between the sides DE and EF of △DEF?
(a) ∠F
(b) ∠D
(c) ∠E
(d) None of these

Answer

Answer: (c) ∠E


Question 24.
In ΔABC and ΔDEF, AC = DF,AB = DE and BC=EF. By which property are ΔABC and ΔDEF congruent?
(a) R.H.S. property
(b) S.S.S. property
(c) S.A.S. property
(d) A.S.A. property

Answer

Answer: (b) S.S.S. property


Question 25.
Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them?
(a) ΔPQR is smaller than ΔDFE.
(b) ΔPQR is larger than ΔDFE.
(c) ΔPQR is congruent to ΔDFE.
(d) ΔPQR is not congruent to ΔDFE.

Answer

Answer: (c) ΔPQR is congruent to ΔDFE.


Question 26.
ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠P is
(a) ∠A
(b) ∠C
(c) ∠B
(d) None of these

Answer

Answer: (b) ∠C


Question 27.
Two angles are congruent if they have
(a) Same name
(b) unequal measures
(c) equal measures
(d) none of these

Answer

Answer: (c) equal measures


Match the following:

Question 1.

1. Shaving blades of the same companya. Not congruent
2. Sheets of different letter padb. Congruent
3. Toys made of the same mouldc. Not congruent
4. Biscuits in the different packetsd. Congruent
Answer

Answer:

1. Shaving blades of the same companyd. Congruent
2. Sheets of different letter pada. Not congruent
3. Toys made of the same mouldb. Congruent
4. Biscuits in the different packetsc. Not congruent

Question 2.

1. Two angles are congruenta. Having same length
2. Two lengths are congruentb. Having same measurement
3. Two triangles are congruentc. Triangles are not congruent
4. All angles are equalsd. Have all sides equal
Answer

Answer:

1. Two angles are congruentb. Having same measurement
2. Two lengths are congruenta. Having same length
3. Two triangles are congruentd. Have all sides equal
4. All angles are equalsc. Triangles are not congruent

State true or false:

Given triangles are congruent:

Question 1.
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 6

Answer

Answer: false


Question 2.
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 7

Answer

Answer: true


Question 3.
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 8

Answer

Answer: true


Question 4.
MCQ Questions for Class 7 Maths Chapter 7 Congruence of Triangles with Answers 9

Answer

Answer: false


Fill in the blanks:

1. If two line segments have the same ……….. they are congruent.

Answer

Answer: length


2. If two angles have the same …………. they are congruent.

Answer

Answer: measure


3. Among two congruent angles, one has a measure of 70°; the measures of the other angle is …………….

Answer

Answer: 70°


4. When we write ∠A = ∠B, we actually mean ……………

Answer

Answer: m∠A = m∠B


5. Two triangles are congruent if they are …………… of each other and when ……………
(copies, superposed)

Answer

Answer: copies, superposed


6. 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………….

Answer

Answer: congruent


7. If under a correspondence two sides and the angle included between them of a triangle are equal to two corresponding sides and the angle included between them of another triangle, the triangles are ………….

Answer

Answer: congruent


8. If under a correspondence two angles and the included side of a triangle are equal to two corresponding angles and the included side of another triangle, then the triangles are …………

Answer

Answer: congruent


9. If under a correspondence the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one-side of another right angled triangle, then the triangles are ……………

Answer

Answer: congruent


10. There is no such thing as AAA of two triangles.

Answer

Answer: congruence


 


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