(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.
