Question

Given: ABC, DE || AC

Prove: DA/BD = EC/BE

Drag and drop a reason to each box to complete the proof.

Drag options “can only be used once!”

Alternate Interior Angles Theorem

Corresponding Angles Postulate

Same-side interior angles theorem

Segment Addition Postulate

Transitive Property of Equality

Segment congruence postulate

Commutative property of addition

Addition property of equality

Substitutional property equality

Answer 1

1. ∠BDE ≅ ∠ BAC Corresponding Angles Postulate

∠BED ≅ ∠BCA

2. BA = BD + DA

BC = BE + EC Segment Addition Postulate

3. BD + DA / BD = BE + EC / BE Substitutional property equality

Explanation:

...

Answer 2

1. ∠BDE ≅ ∠ BAC Corresponding Angles Postulate

∠BED ≅ ∠BCA

2. BA = BD + DA

BC = BE + EC Segment Addition Postulate

3. BD + DA / BD = BE + EC / BE Substitutional property equality

Explanation: