Question

D,E,F are the mid points of the sides BC,CA & AB respectively of∆ ABC. Then∆ DEF is congruent to ……..


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Answer 1

Answer:

triangle DEF is congruent to AFE, BDF and ECD

Step-by-step explanation:

They are congruent by SSS. Solve using mid-point theorum :

Given: AF = BF; AE=CE; BD=CD

Now, DF = 1/2AC = AE = CE

FE = 1/2BC = BD = CD

&DE = 1/2AB = AF = BF

Therefore triangle DEF is congruent to triangles AFE, BDF & ECD by SSS.

Hope it was helpful!!