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Step-by-step explanation:
if ab and cd are bisecting each other therefore the lines must be equal
since AB =CD, therefore in tri. akc and tri. bkd
AK = BK (as the line is bisected)
if ak = bk then ck must be equal to dk
therefore ck = dk (as the line is bisected)
angle akc = angle bkd ( interior opposite angles)
therefore tri. akc is congruent to tri. bkd by SAS congruence rule
AC=BD. by CPCT (Q.E.D)
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