Mathematics
In the following diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines at points A, B, C and P, Q, R as shown.
Prove that:
![In the diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines at points A, B, C and P, Q, R as shown. Prove that: AB/BC = PQ/QR. Similarity, Concise Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/cm10/q8-c15-ex-15-e-similarity-concise-maths-solutions-icse-class-10-1180x1100.png)
Similarity
2 Likes
Answer
Join A and R. Let AR meet BQ at point D.
![In the diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines at points A, B, C and P, Q, R as shown. Prove that: AB/BC = PQ/QR. Similarity, Concise Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/cm10/q8-c15-ex-15-e-answer-similarity-concise-maths-solutions-icse-class-10-1178x1098.png)
In ∆ACR, BD || CR.
By Basic proportionality theorem, we get
…..(1)
In ∆APR, DQ || AP.
By Basic proportionality theorem, we get
…..(2)
From (1) and (2) we get :
Hence proved that .
Answered By
1 Like