Diagonals line segment cap A cap c and line segment cap b cap d form right angles at point cap m in parallelogram cap A cap b cap c cap d Prove cap A cap b cap c cap d is a rhombus. Which is the missing statement in step 6 ? Expand Image

The diagonals of a parallelogram bisect each other, so AM = CM and BM = DM. Since the diagonals meet at right angles, the four small triangles around M are right triangles with matching legs, so they are congruent: △AMB ≅ △CMB ≅ △CMD ≅ △AMD. This is the sequence stated in choice D.

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