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Q: The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram.?

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"It has four sides" is a description that does not guarantee that a quadrilateral is a square.

A quadrilateral is not necessarily a rectangle. The only time this is not true is in the case of a square on a quadrilateral without four 90 degree angles.

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5, but only if you get all the rest correct. Can you guarantee that?

5

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False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

"It has four sides" is a description that does not guarantee that a quadrilateral is a square.

False

no

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.

None of the conditions on the list that accompanies the question guarantees that a quadrilateral is a parallelogram. But then, none of them prevents it either.

A quadrilateral is not necessarily a rectangle. The only time this is not true is in the case of a square on a quadrilateral without four 90 degree angles.

QR=5,ST=5 QT is paralellel to RS

I can guarantee you that. Indeed you can use guarantee in a sentence.

guarantee

A guarantee provided by a corporation, a legal person, is known is corporate guarantee.

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