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In the following diagram, lines l, m and...

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 : `(AB)/(BC) = (PQ)/(QR)`
Join A and R. Let AR meets BQ at point D.

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. Triangle ABC is similar to triangle PQR. If bisector of angle BAC meet...

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  2. In the following figure, /AXY = /AYX.. If (BX)/(AX) = (CY)/(AY) , show...

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  3. In the following diagram, lines l, m and n are parallel to each other....

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  4. In the following figure, DE||AC and DC||AP. Prove that : (BE)/(EC) = (...

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  5. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

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  6. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

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  7. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm.   Pro...

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  8. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

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  9. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

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  10. In the given triangle P, Q and R are the mid points of sides AB, BC an...

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  11. In the following figure, AD and CE are medians of DeltaABC. DF is draw...

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  12. In the following figure, AD and CE are medians of DeltaABC. DF is draw...

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  13. If the areas of two similar triangles are equal, prove that they ar...

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  14. The ratio between the altitudes of two similar triangles is 3 : 5, wri...

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  15. The ratio between the altitudes of two similar triangles is 3 : 5, wri...

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  16. The ratio between the altitudes of two similar triangles is 3 : 5, wri...

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  17. The ratio between the areas of two similar triangles is 16 : 25. Find ...

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  18. The ratio between the areas of two similar triangles is 16 : 25. Find ...

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  19. The ratio between the areas of two similar triangles is 16 : 25. Find ...

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  20. The given figure shows P a triangle PQR in which XY is parallel to QR....

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