The applet below contains a quadrilateral that [color=#1e84cc][b]ALWAYS remains a RECTANGLE.[/b][/color][br]Be sure to move the BIG [color=#ff0000]RED[/color] VERTICES of this rectangle around as you answer each investigation question!
[b][color=#0000ff]SIDES:[/color][color=#980000] Measure and display the lengths of all 4 sides. [br][/color][/b][color=#980000]What, if anything, do you notice? Describe in detail.[br]Are the opposite sides always congruent?[br]Are the opposite sides always parallel?[/color]
[b][color=#0000ff]ANGLE MEASURES:[/color][color=#980000] Construct both diagonals (AC & BD). Construct the midpoint of segment AC. Label this point “E”.[/color][/b] [color=#980000][b]Measure & display the measures of the following angles: [math][/math][/b][math]\text{\angle BAE, \angle EAD, \angle ADE, \angle EDC, \angle DCE, \angle ECB, \angle CBE, \angle EBA.}[/math][br]What do you notice? Describe in detail. Are the opposite angles always congruent?[br]Are the consecutive angles always supplementary?[br]Are there four congruent angles?[/color]
[b][color=#0000ff]ANGLES FORMED BY DIAGONALS: [br][/color][/b][color=#980000]What do you notices about the angles formed by the diagonals? Explain in detail.[br]Are the diagonals always perpendicular to each other?[br]Do the diagonals bisect the angles?[/color]
[color=#0000ff][b]DIAGONAL MEASURES: [br][/b][/color][color=#980000]What do you notice about the measurements of the diagonals? Explain in detail.[br]Are the diagonals always congruent to each other?[br]Do the diagonals always bisect each other?[/color]