The missing statement of the given proof is; ΔAMB = ΔAMD = ΔCMB = ΔCMD
How to carry out a two column proof?
We want to find the statement that has the reason as SAS Congruence Postulate.
SAS Congruence Postulate means that If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Now, for a rhombus, the 4 sides are all equal and if the point where the diagonals intersect is M, then we can say that;
ΔAMB = ΔAMD = ΔCMB = ΔCMD
This is because all four rectangles formed by the diagonals midpoint are congruent to each other.
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