Use this worksheet to investigate the diagonals and angles of the special quadrilaterals:
1.) Kites
2.) Isoceles Trapezoids
3.) Parallelograms

Draw diagonals by selecting the "segment" tool at the top. Pay attention to the algebra sidebar which gives you the measure of each segment.
You may move three of the points in each quadrilateral. The fourth moves automatically.
Rhetorical Questions:
1.) Can you make the kite into a parallelogram? A rectangle? A rhombus? A square?
2.) Can you make the isoceles trapezoid into a parallelogram? A rectangle? A rhombus? A square?
3.) Can you make the parallelogram into a rectangle? A rhombus? A square?
Actual Questions:
1.) In which figure(s) are diagonals congruent to each other?
2.) In which figure(s) do diagonals bisect each other?
3.) In which figure(s) are diagonals perpendicular to each other?