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In the adjoining figure, seg XY || seg BC, then which of the following statements is true?

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In the adjoining figure, seg XY || seg BC, then which of the following statements is true?

(A) AB/AC = AX/AY

(B) AX/XB = AY/AC

(C) AX/YC = AY/XB

(D) AB/YC = AC/XB

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(A) AB/AC = AX/AY

∆ABC ~ ∆AXY … [AA test of similarity] 

∴ AB/AX = AC/AY  …[Corresponding sides of similar triangles] 

∴ AB/AC = AX/AY …[Altemendo]

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