Q. 5 4.6( 166 Votes )

In Fig. 6.20, DE || OQ and DF || OR. Show that EF || QR.

Answer :

To Prove: EF ll QR

Given: In triangle POQ, DE parallel to OQ


In triangle POQ, DE parallel to OQ


 Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

(Basic proportionality theorem) (i)



(Basic proportionality theorem) (ii)

From (i) and (ii), we get


EF is parallel to QR (Converse of basic proportionality theorem)

Hence, Proved.

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