Square Investigation
The applet below contains a quadrilateral that ALWAYS remains a square.
Be sure to move the BIG RED VERTICES of this square around as you answer each investigation question!
SIDES: Measure and display the lengths of all 4 sides.
What, if anything, do you notice? Describe in detail.
Are the opposite sides always congruent?
Are the opposite sides always parallel?
ANGLE MEASURES: Construct both diagonals (AC & BD). Construct the midpoint of segment AC. Label this point “E”. Measure & display the measures of the following angles:
What do you notice? Describe in detail. Are the opposite angles always congruent?
Are the consecutive angles always supplementary?
Are there four congruent angles?
ANGLES FORMED BY DIAGONALS:
What do you notices about the angles formed by the diagonals? Explain in detail.
Are the diagonals always perpendicular to each other?
Do the diagonals bisect the angles?
DIAGONAL MEASURES:
What do you notice about the measurements of the diagonals? Explain in detail.
Are the diagonals always congruent to each other?
Do the diagonals always bisect each other?