Q. 45.0( 1 Vote )

# In □ ABCD, A—P—D, B—Q—C. If AB ∥ PQ and PQ || DC, prove thatAP X QC = PD X BQ.

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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