7.4 Properties of Special Parallelograms #2
A theorem we learned from Section 7.3:
Points A, B, C, D, and E are movable in the Applet below. The points of the line segments in the upper left are also movable.
(a) Construct two segments that are perpendicular bisectors of each other by moving the points A, B, D, and E.
(b) Draw quadrilateral [i]AEBD[/i] using line segments in the left bottom corner.
(c) Is AEBD a parallelogram? rectangle? rhombus? square? Explain your reasoning.[br][br]Hint: Remember the Parallelogram Diagonals Converse (Thm. 7.10).[br]
Repeat parts (a)–(c) for several other segments. Write a conjecture based on your results.