Proof : In XDE, PQ || DE ……..______
XP/_______ = ______/ QE ………. (I) (Basic proportionality theorem)
In XEF, QR || EF ………. _______
______ /______= ______ /______ ……….(II) ______
______ /______= ______ /______ ………. from (I) and (II)
seg PR || seg DE ………. (converse of basic proportionality theorem)
In XDE, PQ || DE……. Given
XP/PD = XQ/QE…….. (I) (Basic proportionality theorem)
In XEF, QR || EF……. Given
XR/RF = XQ/QE……. .(II) (Basic proportionality theorem)
XP/PD = XR/RF ………. from (I) and (II)
seg PR || seg DE ………. (converse of basic proportionality theorem)
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