# Solution - Similarity of Triangles

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ConceptSimilarity of Triangles

#### Question

The diagonals of a quadrilateral ABCD intersect each other at the point O such that (AO)/(BO) = (CO)/(DO)  Show that ABCD is a trapezium

#### Solution

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#### Similar questions

E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR.

PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

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Using Basic proportionality theorem, prove that a line drawn through the mid-points of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

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In the following figure, DE || AC and DF || AE. Prove that (BF)/(FE)=(BE)/(EC)

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E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR

PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

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In the following figure, DE || OQ and DF || OR, show that EF || QR

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