If AE = 10 cm, BD = 8 cm and BC = 10 cm, then AB is equal to :

1. 5 cm

2. 25 cm

3. 12.5 cm

4. 2.5 cm

In the given figure :

1. △ ABE ~ △ ADE

2. △ ADE ~ △ ABC

3. △ ADE ~ △ BAC

4. △ ADE ~ △ CAB

In the figure, given below, straight lines AB and CD intersect at P; and AC || BD. Prove that:

(i) ∆APC and ∆BPD are similar.

(ii) If BD = 2.4 cm, AC = 3.6 cm, PD = 4.0 cm and PB = 3.2 cm; find the lengths of PA and PC.

In the given figure, AB || DC, BO = 6 cm and DQ = 8 cm; find: BP x DO.