In the given figure, ABC is a triangle. DE is parallel to BC and $\dfrac{AD}{DB} = \dfrac{3}{2}$.

(i) Determine the ratios $\dfrac{AD}{AB} \text{ and } \dfrac{DE}{BC}$.

(ii) Prove that △DEF is similar to △CBF. Hence, find $\dfrac{EF}{FB}$.

(iii) What is the ratio of the areas of △DEF and △BFC?

In the given figure,

∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

Triangles ABC and RSP are similar to each other, the corresponding sides of the two triangles are :

1. AB and RS

2. BC and RP

3. AC and SP

4. AB and RP

A : Two similar triangles are congruent.

B : Two congruent triangles are similar, then :

1. A is true, B is false

2. A is false, B is true

3. A is false, B is false

4. A is true, B is true