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)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
RELATED QUESTIONS :

Solve Question:

In the following figure, seg BE seg AB and seg BA seg AD. If BE = 6 and AD = 9, find .


Maharashtra Board - Geometry Papers