properties of parellelogram

Author:
Mathguru
We can clearly see the figure. This is a parallelogram ABCD. We can change the positions of the three points A, B, and C. We cannot move the position of the point D because D will move automatically to keep ABCD a parallelogram. Shape and size of the parallelogram depends upon the position of these four points. AD and BC are the two diagonals of this parallelogram and they intersect at E. Let us move the free objects A, B and C and observe how the shape of the parallelogram, angles, lengths of sides and lengths of diagonals get changed
Questions to think about 1. What do we observe about the opposite angles α & δ (shown in blue) and β & У (shown in pink)? 2. What do we observe about line segments DE & EA and EB & EC?