Q10 of 49 Page 13

In the figure 1.44, X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ || seg DE, seg QR || seg EF. Fill in the blanks to prove that, seg PR || seg DF.


Proof : IN



(Basic proportionality theorem)


In



(converse of basic proportionality theorem)

Proof: In ΔXDE, PQ||DE….. (Given)


∴ …..(I)


(Basic proportionality theorem)


In ΔXDE, QR||EF …….(Given)


∴ ………(II) (Basic Proportionality Theorem)


∴ ……… from (I) and (II)


∴ seg PR||Seg DE ………..


(converse of basic proportionality theorem)


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