Question

In the adjacent figure, seg AD ≡ seg EC Which additional information is needed to show that Δ ABD and Δ EBC will be congruent by A-A-S test?

Answer 1

In triangle ABD and EBC,

AD=EC (given)
angle EBC=angle ABD (verticle opposite angels)
angle ADB=angle BEC (alternate interior angle)

SO,

∆ABD=∆BEC

Answer 2

Solution :

In ∆ABD and ∆CEB

<BAD = <ECB ( A ) ------( 1 )

AD = EC ( S ) -----( 2 )

<BDA = <CEB ( A ) ----( 3 )

( 2 ) is given ,

( 1 ) and ( 2 ) is required information

to prove ,

∆ABD congruent to ∆CEB

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