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Question
In the given figure, if ME || SU, then which of the following statements is correct?
Options
ΔMOE ~ ΔSOU
ΔMOE ~ ΔSUO
ΔOEM ~ ΔUSO
ΔOEM ~ ΔOSU
MCQ
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Solution
ΔOEM ~ ΔOSU
Explanation:
Given: ME || SU
In △MOE and △UOS:
∠MEO = ∠USO ...(Alternate interior angles)
∠EMO = ∠SUO ...(Alternate interior angles)
∠MOE = ∠UOS ...(Vertically opposite angles)
By AAA similarity criterion, the vertices must correspond correctly:
M ↔ U
O ↔ O
E ↔ S
Therefore, △OEM ∼ △OSU.
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