Question

pls tell the answer for question no. 11 it from class 9 maths ncert ex 8.1 question no 11​

Answer 1

Step-by-step explanation:

(i) In ABC and DEF

AB = DE[Given]

And AB DE[Given]

ABED is a parallelogram.

(ii) In ABC and DEF

BC = EF[Given]

And BC EF[Given]

BEFC is a parallelogram.

(iii) As ABED is a parallelogram.

AD BE and AD = BE ……….(i)

Also BEFC is a parallelogram.

CF BE and CF = BE……….(ii)

From (i) and (ii), we get

AD CF and AD = CF

(iv) As AD CF and AD = CF

ACFD is a parallelogram.

(v) As ACFD is a parallelogram.

AC = DF

(vi) In ABC and DEF,

AB = DE [Given]

BC = EF [Given]

AC = DF [Proved]

ABC DEF[By SSS congruency]