Question

Use a two-column proof to prove the Triangle Proportionality Theorem:

Answer 1

Explanation:

From the picture attached,

Statements Reasons

1). In ΔABC, DE intersects AB and AC 1). Given

2). DE║BC 2). Given

3). ∠ADE ≅ ABC 3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate

5). ΔADE ~ ΔABC 5). AA similarity postulate

6).
`(AD)/(AB)=(AE)/(AC)` 6). Definition of two similar triangles

Hence proved.