Q. 45.0( 1 Vote )

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


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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Proportionality Theorem42 mins
Champ Quiz | Thales Theorem49 mins
Quiz | Criterion of Similarity of Triangle45 mins
NCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs From Triangles41 mins
R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class
How to Ace Maths in NTSE 2020?36 mins
R.D Sharma | Solve Exercise-4.545 mins
NCERT | Basic Proportionality Theorem22 mins
RD Sharma | Imp Qs Discussion- Triangles43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses