Question

Plz Prove the INTERCEPT THEOREM

Answer 1

Intercept theorem - If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts.

Answer 2

The intercept theorem can be used toprove that a certain construction yields parallel line (segment)s. If the midpoints of two triangle sides are connected then the resulting line segment is parallel to the third triangle side.

An elementary proof of the theorem uses triangles of equal area to derive the basic.. statements about the ratios (claim 1). The other claims then follow by applying the first claim and contradiction.