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## 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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