CBSE Class 10 Maths (Basic) 2024 · Paper 430/2/1 · Question 24(a)

Triangles 2 marks Medium

In the given figure,

O A \cdot O B = O C \cdot O D

. Prove that

△ A O D \sim △ C O B

Segments AB and CD intersect at O forming triangles AOD and COB

Answer

Since

\frac{O A}{O C} = \frac{O D}{O B}

and

∠ A O D = ∠ C O B

(vertically opposite angles),

△ A O D \sim △ C O B

by the SAS similarity criterion. Hence proved.

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