Question

Digonals AC nad BD of a trapezium ABCD with AB||DC Intersect each other at the point O. Using a similarity criterion for two triangles, show that OA/OC= OB/OD.

Answer 1

Answer:

ABCD is a trapezium with AB∥CD and diagonals AB and CD intersecting at O.

⇒ In △OAB and △OCD

⇒ ∠AOB=∠DOC [ Vertically opposite angles ]

⇒ ∠ABO=∠CDO [ Alternate angles ]

⇒ ∠BAO=∠OCD [ Alternate angles ]

∴ △OAB∼△OCD [ AAA similarity ]

We know that if triangles are similar, their corresponding sides are in proportion.

⇒

OC = OD

OA. OB

[henceproved]

Answer 2

Answer:

Mark as brainlist

Explanation:

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