Optional extension In trapezium $WXYZ$, $WX\parallel ZY$. Diagonals $WY$ and $XZ$ meet at \(

Question

Optional extension In trapezium $WXYZ$, $WX\parallel ZY$. Diagonals $WY$ and $XZ$ meet at $S$. Point $P$ lies on $WZ$, point $T$ lies on $WY$, and $PT\parallel ZY$. Given $WX=\frac35ZY$ and $ZP=\frac23ZW$: $W$ $X$ $Y$ $Z$ $S$ $P$ $T$

Accepted Answer

(a) $\triangle WXS\sim\triangle YZS$, $\triangle WPT\sim\triangle WZY$ (b)(i) $3/5$ (ii) $1/3$.

Two similarity pairs in a trapezium

Two similarity pairs in a trapezium

Solution:

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