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For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.

first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent

second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular

1 Answer

1 vote

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Answer:

  • can be congruent or not congruent
  • must be perpendicular

Explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

  • can be congruent or not congruent
  • must be perpendicular

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

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