Compare the parallelogram ABCD and the triangle EFG. Grab and move the point B to change the base of the parallelogram. Grab and move the point D to change the height of the parallelogram. Use the rotation slider to rotate the triangle clockwise around the point O. What conclusion can you make about the area of a triangle when it has the same base and height as a parallelogram? Verify your conjecture by using the translation slider.
| Rotation | ||||
| 0 | 0 | 3.1415 | ||
| Translation | ||||
| 0 | 0 | 1 | ||