# Parallelograms - Diagonals

- Author:
- Mateusz

- Topic:
- Parallelogram

## Parallelogram construction

1. Create a line AB
2. Plot point anywhere that is not collinear with A and B and rename the point to D
3. Construct line that passes through A and D
4. Using Parallel Line tool, create a line through B that is parallel to line AD
5. Using Parallel Line tool, create a line through D that is parallel to AB
6. Create a point of intersection where two lines cross
7. Hide all segments and lines. Only points A, B, C, and D should be visible
8. Using polygon tool, connect all 4 points thus creating a parallelogram

What is a diagonal?

Using segment tool, create two diagonals in your parallelogram. Then make a point of intersection E. Using distance or length tool, measure the following segments; AE, BE, CE, and DE. What do you notice?