Move point A and B to change the height and base and create a parallelogram of your choice. Drag point I to the extreme right of the segment. NOTE: When point B is moved to change the length of the base of the parallelogram, adjust point D to be parallel to point C, this will keep the triangle that will be cut off and translate it to the right in place.

1.) What is the relationship between the area of the original figure (parallelogram) and the area of the resulting rectangle? 2.) In terms of b and h, what is the area of the rectangle? 3.) Based on questions 1 and 2, what conjecture can you make about the two figures?

Adjust the sliders for base and height. Drag point C to adjust the slant of the parallelogram. What changes about the shape?

Questions: 1. Adjust the sliders so b = 6 and h = 3. Make sure X = 0. What is the area of the parallelogram? 2. Move the slider for X all the way to the right. What is the resulting shape? What is the area of this shape? 3. How does this prove the formula for the area of a parallelogram? Why must the formulas for the area of a parallelogram and the area of a rectangle be the same? Use complete sentences to explain your reasoning.