Explain,why
ΔABC≅ ΔFED
Giventhat, ∠ABC = ∠FED (1)
∠BAC= ∠EFD (2)
The twoangles of ΔABC are equal tothe two respective angles of ΔFED.Also, the sum of all interior angles of a triangle is 180º.Therefore, third angle of both triangles will also be equal inmeasure.
∠BCA= ∠EDF (3)
Also,given that, BC = ED (4)
By usingequation (1), (3), and (4), we obtain
ΔABC≅ ΔFED (ASAcriterion)