Parallelogram Exploration
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 [b]Show side measures. [/b]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 [b]Show angle measures.[/b] 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. [math]m\angle A+m\angle B[/math][br]Move point A around to verify your conjecture.[br][br][br]
Make a conjecture about the diagonals of a parallelogram.
Click [b]Show measures of segments of diagonals. [/b]What do you notice about measure of AE, EC, BE, and ED.[br]What could you say about the diagonals of a parallelogram? Move point A around to verify your conjecture. [br][br][br]
Rectangle Exploration
Exploring Properties of Rectangles
In this activity you will make observations of the properties of rectangles. Move point C to create other rectangles to test each of your conjectures.
Make a conjecture about the measures of the opposite sides of a rectangle.
Click [b]Side lengths[/b]. What do you notice about the opposite sides of the rectangle? Move point C to verify your conjecture.
Make a conjecture about the measures of the opposite and consecutive angles of a rectangle.
Click [b]Interior angles.[/b] What do you notice about the [b]opposite angles[/b] of the rectangle? What do you notice about thesum of the [b]consecutive angles[/b] of the rectangle? Move point C to verify your conjecture.
Make a conjecture about the diagonals of the diagonals of a rectangle.
Click [b]Diagonal lengths.[/b] What do you notice about the lengths of the diagonals of the rectangle? Move point C to verify your conjecture.
What makes a parallelogram a rectangle?
A rectangle is a parallelogram, therefore it will have all the same properties as a parallelogram. What makes a rectangle stand out from other parallelograms? (There are two properties all rectangles have that not all parallelograms will have.)[br][br][br]