The figure below shows a rhombus ABCD.

The following flowchart was drawn to prove that the diagonals of a rhombus bisect its interior angles.
Which is the missing reasoning in the flowchart?

by ASA postulate

adjacent triangles are congruent

length of diagonals is double the length of sides

by SSS postulate

Question

The figure below shows a rhombus ABCD.

The following flowchart was drawn to prove that the diagonals of a rhombus bisect its interior angles.
Which is the missing reasoning in the flowchart?

by ASA postulate

adjacent triangles are congruent

length of diagonals is double the length of sides

by SSS postulate

anonymous · Answer

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anonymous · Answer

By SSS postulate. The two triangles in question share the same side BO(as stated), sides AO and CO are quantifiably equivalent(as stated), and because it is a rhombus, sides AB and BC are also quantifiably equivalent(as stated). Thus, by the SSS postulate, angle ABO=CBO.