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#### Question

In figure, if ∠A = ∠C, then prove that ∆AOB ~ ∆COD

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#### Similar questions

In an isosceles ∆ABC, the base AB is produced both ways in P and Q such that AP × BQ = AC^{2} and CE are the altitudes. Prove that ∆ACP ~ ∆BCQ.

P and Q are points on sides AB and AC respectively of ∆ABC. If AP = 3 cm, PB = 6cm. AQ = 5 cm and QC = 10 cm, show that BC = 3PQ.

In figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm, AP = 2.8 cm, find CA and AQ.

The diagonal BD of a parallelogram ABCD intersects the segment AE at the point F, where E is any point on the side BC. Prove that DF × EF = FB × FA

In figure, ∠A = ∠CED, prove that ∆CAB ~ ∆CED. Also, find the value of x.