|
Constructing Quadrilaterals 2
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.
 |
Extensions |
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?
 Submit your idea for an investigation to InterMath.
|
