Q. 45.0( 1 Vote )

In ABCD, APD, BQC. If AB PQ and PQ || DC, prove that

AP X QC = PD X BQ.


Answer :

Given: In ABCD, APD, BQC, and


To prove: AP×QC = PD×BQ


Proof: and



So, , , are three linesand and are their transversal



( if three or more than three lines are intercepted by two transversal, the segments cut off on the transversal between the same parallel lines are proportional)


AP × QC = PD × BQ hence proved


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