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Given: Parallelogram Abcd in Which Diagonals Ac and Bd Intersect at M. - Mathematics

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Question

Given: Parallelogram ABCD in which diagonals AC and BD intersect at M.
Prove: M is the mid-point of LN.

Sum

Solution

Proof: Diagonals of //gm bisect each other.

MD = MB

Also ∠ADB = ∠DBN (Alternate ∠s)

& ∠DML = ∠BMN (Vert. opp. ∠s)

∆DML = ∆BMN

LM = MN

M is mid-point of LN.

Hence proved.

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Chapter 17: Special Types of Quadrilaterals - Exercise 17 [Page 198]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 17 Special Types of Quadrilaterals
Exercise 17 | Q 9 | Page 198
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