Optional extension Segments $AD$ and $BC$ intersect at $F$. It is given that $BF=CF$ and \(\

Question

Optional extension Segments $AD$ and $BC$ intersect at $F$. It is given that $BF=CF$ and $\angle ABF=\angle DCF$. $A$ $B$ $C$ $D$ $F$

Accepted Answer

(a) $\triangle ABF\equiv\triangle DCF$, ASA (b)(i) $7.5\text{ cm}$ (ii) $B,F,C$ are collinear and $BF=CF$ (iii) $11\text{ cm}$

Congruence in a bow-tie figure