Question

Write a two column proof Given: AB || DC; BC || AE Prove: BC/EA = BD/EB

Answer 1

Answer:

Step-by-step explanation:

Given:

AB║DC and BC║AE

To prove:

$\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}$

                Statements                  Reasons

1). ∠ABE ≅ ∠CDB                    1). Alternate interior angles

2). ∠AEB ≅ ∠CBD                  2). Alternate interior angles

3). ΔCBD ~ ΔAEB                   3). AA property of similarity

4). $\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}$                             4). Property of similarity [Corresponding sides                                                          of two similar triangles are proportional]