Consider the diagram shown Given MObar bisects angle LMN LMb

Consider the diagram shown. Given: MO^bar bisects angle LMN, LM^bar = MN^bar Which statement explains whether there is enough information to classify angle MNO as a rhombus? Yes, if a diagonal bisects one angle of a quadrilateral, then the opposite angle is also bisected. Yes, if one pair of adjacent sides in a quadrilateral is congruent, then all four sides are congruent. No, a pair of opposite angles would need to be congruent. No, the diagonals would need to bisect each other.

Solution

LMNO can not yet be classified as a rhombus. Since we have yet not ensured that the point O is at the point where it should be for being a rhombus. To fix that we will need to add a property that the diagonals bisect each other.

Hence the correct option would be,

No, the diagonals need to bisect each other.