Question

In the given figure, AB//DC//EF and E is mid-point of side AD, then:

Options

• OE : OF = 11 : 3

• OE = OF

• OF = 2 × OE

• CF = FB

Answer 1

CF = FB

Explanation:

By the Intercept Theorem, a set of parallel lines (AB || DC || EF) cuts off proportional intercepts on any two transversals. Since E is the midpoint of side AD (AE = ED), the parallel line segment EF must also bisect the other transversal, BC, at point F, so CF = FB.