NCERT solution class 7 chapter 7 Congruence of Triangles exercise 7.1 mathematics

Exercise 7.1    Exercise 7.2

EXERCISE  7.1


QUESTION 1

Complete the following statements :

1. Two line segments are congruent if _______________.

2. Among two congruent angles, one has a measure of 70∘ , the measure of other angle is _______________.

3. When we write A = B, we actually mean _______________.

 

Sol :

(a) they have the same length

(b) 70∘

(c) m∠A = m∠B

 


QUESTION 2

Give any two real time examples for congruent shapes

Sol :

(i) Two footballs

(ii) Two teacher’s tables

 


QUESTION 3

If ΔABC≅ΔFED under the correspondence ABC FED , write all the corresponding congruent parts of the triangles.

Sol :

Given:  ΔABCΔFED

The corresponding congruent parts of the triangles are:

(i) A F

(ii) E

(iii)  C D

(iv) \overline{\text{AB}}↔\overline{\text{FE}}

(v) \overline{\text{BC}}↔\overline{\text{ED}}

(vi) \overline{\text{AC}}↔\overline{\text{FD}}

 


QUESTION 4

If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that correspond to:

(i) E  (ii) \overline{\text{EF}}  (iii) F  (iv) \overline{\text{DF}}

Sol :

Given : ΔDEFΔBCA

(i) C

(ii) \overline{\text{EF}}↔\overline{\text{CA}}

(iii) A

(iv) \overline{\text{DF}}↔\overline{\text{BA}}


 

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