Properties of Rectangles, Rhombuses and Squares
Measure the diagonals in the rectangle below by selecting the measurement tool (the button with "cm" and an arrow), then click on each endpoint of the segment you are measuring. The length will appear. What did you discover about diagonals AD and FB? Also, move one of the vertices to change the rectangle (Select the move tool first. The one with the white arrow). Does this change what you discovered? Finish the following sentence on your notes: The diagonals of a rectangle are __________________________.
Applet #1 RECTANGLE
In the rhombus below, measure the angles AHB, BHG, EHG, and AHE (Select the angle tool, then click on the points in order of the name of the angle.) What did you discover? Move one of the vertices to see if your findings remain the same for all rhombuses. Finish the following sentence on your notes: The diagonals of a rhombus are __________________________ to each other.
Applet #3 RHOMBUS
Using the rhombus applet above, measure angles ABH, GBH, GEH, and AEH. What did you discover about these angles? Manipulate the rhombus to see if your findings hold for all rhombuses.
So what does one diagonal do to a pair of opposite angles in a rhombus?
Does the other diagonal do the same thing?
So what do the diagonals of a rhombus do to both pair of opposite angles in a rhombus? Finish the following sentence on your notes: Each diagonal of a rhombus __________________________ opposite angles of the rhombus.
Since a square possesses all the properties of a parallelogram, rectangle, and rhombus, Finish the following sentence on your notes: The diagonals of a square are __________________________. The diagonals of a square are __________________________ to each other. Each diagonal of a square __________________________ opposite angles of the square.