Question

In the figure shown e is the midpoint of segment bd and ae = ec . choose the correct statement(s)

Answer 1

triangle ABE ≈ triangle CDE using SAS theorem

Explanation:

E is the midpoint of segment BD

So BE = ED and AE = EC

and <BEA = < CED (vertial angles are equal)

so triangle ABE ≈ triangle CDE using SAS theorem

Answer 2

Therefore, by SAS theorem ΔAEB ≅ DEC

Explanation:

In the figure attached

AE = EC [ E is the midpoint of AC]

BE = ED [ E is the midpoint of BD]

and ∠AEB = ∠CED [ vertically opposite angles]

Therefore, by SAS theorem ΔAEB ≅ DEC