Q. 104.1( 34 Votes )

# 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)

Answer :

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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