CBSE Class 9 Answered
In
figure, two sides AB and BC and the median AM of 
ABC are respectively equal to sides DE and EF and the
median DN of DEF. Prove that ABC 
DEF.
ABC are respectively equal to sides DE and EF and the
median DN of DEF. Prove that ABC DEF.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Given: AB = DE, BC = EF and AM = DN
To
prove: 
ABC 
DEF
Proof:
In
ABM DEN
AB = DE (given)
AM = DN (given)
BM = EN (as M and N are the respective mid-points and BC = EF)
Therefore,
ABM DEN
(by SSS)
Thus,
B = E (By cpct) … (1)
Again in ABC
and DEF
B = E by (1)
AB = DE (given)
BC = EF (given)
Therefore,
ABC DEF (By
SAS)
Hence proved.
Answered by | 04 Jun, 2014, 03:23: PM
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