Parallelogram Exploration

Topic:
Geometry

Exploring Properties of Parallelograms.

In this activity you will make observations of the properties of parallelograms. You may click on point A and move the point to create other parallelograms to test each of your conjectures.

Make a conjecture about the measures of the opposite sides of a parallelogram.

Click Show side measures. What do you notice about the opposite sides of the parallelogram? Move point A around to verify your conjecture.

Make a conjecture about the opposite angles of a parallelogram.

Click Show angle measures. What do you notice about the opposite angles of the parallelogram? Move point A around to verify your conjecture.

Make a conjecture about the consecutive angles of a parallelogram.

What do you notice about the consecutive angles? ie. Move point A around to verify your conjecture.

Make a conjecture about the diagonals of a parallelogram.

Click Show measures of segments of diagonals. What do you notice about measure of AE, EC, BE, and ED. What could you say about the diagonals of a parallelogram? Move point A around to verify your conjecture.