# Skew Quads

Geometry Level 2

$$P,Q,R,$$ and $$S$$ are four coplaner points that lie on the sides $$\overline{AB},\overline{BC},\overline{CD},$$ and $$\overline{DA},$$ respectively, of a skew quadrilateral. Then what is $$\frac { \lvert\overline{AP}\rvert }{ \lvert\overline{PB}\rvert } \cdot \frac { \lvert\overline{BQ}\rvert }{ \lvert\overline{QC}\rvert } \cdot \frac { \lvert\overline{CR}\rvert }{ \lvert\overline{RD}\rvert } \cdot \frac { \lvert\overline{DS}\rvert }{ \lvert\overline{SA}\rvert }?$$

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