Q. 123.7( 3 Votes )
Show that each diagonal of a rhombus bisects the angle through which it passes.
Answer :
(i) In ΔBOC and ΔDOC
BO = DO [In a rhombus diagonals bisect each other]
CO = CO Common
BC = CD [All sides of a rhombus are equal]
ΔBOC≅ΔDOC [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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