In the given figure, L and M are the mid- points of AB and BC respectively.(i) If AB = BC, prove that AL = MC.(ii) If BL = BM, prove that AB = BC.Hint(i) AB=BC⇒12AB=12BC⇒AL=MC.(ii) BL=BM⇒2BL=2BM⇒AB=BC.

In the given figure, L and M are the mid- points of AB and BC respecti

1.	In the given figure, L and M are the mid- points of AB and BC respectively.(i) If AB = BC, prove that AL = MC.(ii) If BL = BM, prove that AB = BC.Hint(i) AB=BC⇒12AB=12BC⇒AL=MC.(ii) BL=BM⇒2BL=2BM⇒AB=BC.
Answer» In the given figure, L and M are the mid- points of AB and BC respectively. (i) If AB = BC, prove that AL = MC. (ii) If BL = BM, prove that AB = BC. Hint (i) $A B = B C \Rightarrow \frac{1}{2} A B = \frac{1}{2} B C \Rightarrow A L = M C$ . (ii) $B L = B M \Rightarrow 2 B L = 2 B M \Rightarrow A B = B C$ .