The lines $L_1 : y - x = 0$ an $L_2 : 2x + y =0$ intersect the line $L_3 : y + 2 = 0$ at P and Q respectively. The bisector of the acute angle between $L_1$ and $L_2$ intersect $L_3$ at R. <br> Statement-1 : The ratio PR : RQ equals $2\sqrt{2}:\sqrt{5}$. <br> Statement -2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.

Question

( A ) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
( B ) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
( C ) Statement-1 is false, Statement-2 is true.
( D ) Statement-1 is true, Statement-2 is false.