Question

Gareth is drawing a geometric figure. He first constructs two diagonals that bisect each other but are not perpendicular.

What else does Gareth need to know about the diagonals to determine whether the quadrilateral will be a rectangle or a parallelogram? Explain your answer using complete sentences.

Answer 1

if he's drawing the figure himself,,he should always know what figure he'll come out with!! ;)

Answer 2

Well, in the properties of a parallelogram the diagonals bisect each other, as well as that property is in the rectangles, though in the rectangles the diagonals also have to be congruent; so if they are its a rectangle if not their a parallelogram.

Answer 3

thats true!! ;)

Answer 4

>What else does Gareth need to know about the diagonals to determine whether the quadrilateral will be a rectangle
--> Gareth would have to know that the diagonals are congruent.

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>determine whether the quadrilateral will be a rectangle or a parallelogram?
--> Because the diagonals bisect each other, the quadrilateral is a parallelogram without knowing anything else.