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Parallelograms 1
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Result
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Identify the converse of each theorem.

1. If two pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
The diagonals of a parallelogram bisect each other.
Opposite angles of a parallelogram are supplementary.
Opposite sides of a parallelogram are congruent.
None of the choices
Answer: Opposite sides of a parallelogram are congruent.
2. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
The diagonals of a parallelogram bisect each other.
Consecutive angles in a parallelogram are supplementary.
Opposite angles of a parallelogram are congruent.
None of the choices
Answer: The diagonals of a parallelogram bisect each other.
3. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
Consecutive angles in a parallelogram are supplementary.
None of the choices
Answer: Opposite angles of a parallelogram are congruent.
4. If one angle of a quadrilateral is supplementary to both angles adjacent to it, then the quadrilateral is a parallelogram.
Opposite sides of a parallelogram are congruent.
Consecutive angles in a parallelogram are supplementary.
Opposite angles of a parallelogram are congruent.
None of the choices
Answer: Consecutive angles in a parallelogram are supplementary.
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