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Abcd is a Parallelogram. What Kind of Quadrilateral is It If : Ac = Bd and Ac is Perpendicular to Bd? - Mathematics

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Question

ABCD is a parallelogram. What kind of quadrilateral is it if : AC = BD and AC is perpendicular to BD?

Sum

Solution

AC = BD  (Given)

& AC ⊥ BD  (Given)

i.e. Diagonals of a quadrilateral are equal and they are ⊥ to each other.

∴ ABCD is square.

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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 11.1 | Page 198
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