Can you make a quadrilateral with exactly –

- 4 equal sides
- 3 equal sides
- 2 equal sides
- 4 non-equal sides
- 3 non-equal sides
- 2 non-equal sides
- one pair of perpendicular sides
- one pair of parallel sides
- two pairs of perpendicular sides
- two pairs of parallel sides
- one pair of perpendicular sides and one pair of parallel sides
- two pairs of perpendicular sides and two pairs of parallel sides
- one pair of perpendicular sides and two pairs of parallel sides
- two pairs of perpendicular sides and one pair of parallel sides

If you cannot find an example, explain why it is not possible to form such a quadrilateral. If it is possible to form such a quadrilateral, what type of quadrilateral is formed? Find all the different types of quadrilaterals whose sides fit the same description. Explain why you think you have them all.

Extension

Is it possible to create two distinct quadrilaterals that have the same angle measures?

How many quadrilaterals can you construct given a specific area measurement? Which would have the largest perimeter? Which would have the smallest perimeter?