Question

Each of the following statements describes a quadrilateral. Which of the quadrilaterals are NOT parallelograms? Choose three.

1: The diagonals are congruent, but the quadrilateral has no right angles.
2: Two consecutive sides are congruent, but the figure is not a rhombus.
3: Each diagonal is 3 cm long, and the two opposite sides are 2 cm long.
4: Two opposite angles are right angles, but the quadrilateral is not a rectangle.
5: One diagonal is a perpendicular bisector of the other.

This question really confuses me. I think I kinda get it, I feel I should choose 2, 4, and 5, but I'm really not sure at all. I don't get it:p Please help? Thanks

Answer 1

1: probably a trapezoid
2: Must mean that there are two such congruent sides, not that <b>all</u> pairs are congruent. Might be a trapezoid or a kite.
3: could be a rectangle or trapezoid. Diagonals of a rhombus are not equal.
4: general quadrilateral. Try drawing one
5: kite

Try drawing an example of each.</b>