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in Quadrilaterals by (23.5k points)
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In the given figure, YZ is parallel to MN, XY is parallel is LM and XZ is parallel to LN. Then MY is

(a) Median of ΔLMN 

(b) The anguler bisector of ∠LMN 

(c) Perpendicular to LN 

(d) Perpendicular bisector of LN

1 Answer

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by (24.0k points)
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Best answer

(a) Median of ΔLMN 

Since ZY || MN and ZX || YN, 

XNYZ is a parallelogram 

∴ ZX = YN                       ...(i) 

Also, ZX || YN and XY || ZL             ( XY || ZM) 

⇒ XYLZ is a parallelogram 

∴ ZX = LY                     ...(ii) 

From (i) and (ii), 

YN = LY 

⇒ MY is the median of ΔLMN.

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