Q. 123.7( 3 Votes )

# Show that each di

Answer :

(i) In Δ*BOC* and Δ*DOC*

BO = DO [In a rhombus diagonals bisect each other]

CO = CO Common

BC = CD [All sides of a rhombus are equal]

Δ*BOC*≅Δ*DOC [SSS Congurency]*

∠*BCO* =∠*DCO from above [corresponding parts of congruent triangles]*

Hence, each diagonal of a rhombus bisect the angle through which it passes.

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