# Rhombus Investigation

The applet below contains a quadrilateral that ALWAYS remains a rhombus. Be sure to move the BIG RED VERTICES of this rhombus 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?