Constructions & proofs
Proofs with similar triangles
1 / 5Standard
In △ABC, point D is on side AB and point E is on side AC such that DE // BC. The proof that △ADE ∽ △ABC is written as follows:
[Proof]
In △ADE and △ABC,
Since DE // BC, corresponding angles of parallel lines are equal, so
∠ADE = ∠ABC ... (1)
∠AED = ∠ACB ... (2)
From (1) and (2), since ( ),
△ADE ∽ △ABC.
Which of the following is the most appropriate similarity condition to fill in the blank?