7.4 Properties of Special Parallelograms #1
A theorem we learned from Section 7.3:
Points P, B, C, D, and E are movable in the Applet below. The points of the line segments in the left bottom corner are also movable.
(a) Draw two diameters of the circle with endpoints B, C, D, and E (by moving points B, C, D, and E.)
(b) Draw quadrilateral BDCE using line segments in the left bottom corner.
(c) Is BDCE a parallelogram? rectangle? rhombus? square? Explain your reasoning. Hint: Remember the Parallelogram Diagonals Converse (Thm. 7.10).
Repeat parts (a)–(c) for several other circles. Write a conjecture based on your results.