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Question

ABCD is a rhombus. Show that diagonal AC bisects A as well as C and diagonal BD bisects B as well as D.

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Solution

[Inrhombusallsideareequalanddiagonolsaredifferentbutintersectat900]AB=BC=CD=DAACBDInΔABCAB=BCCAB=ACBAO=OCABO=CBOandsimillarlyinΔADCAD=DCAO=OCcorrespondingangleareequalDAC=DCAandCDO=ADOHence,ACbisectAandCandBDbisectsBandD
1172531_1133978_ans_aad1f08d5a804b669fc3952443dcea23.png

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