The lines L_1: y-x=0 and L_2: 2 x+y=0 intersect the line L_3: y+2=0...

The lines $L_1: y-x=0$ and $L_2: 2 x+y=0$ 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 $R$. This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : The ratio $P R: R Q$ equals $2 \sqrt{2}: \sqrt{5}$. Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.