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Parallelogram Investigation

Author:Luke Cioffi, Tim Brzezinski
Parallelogram Lab
Use GeoGebra to complete the following investigation. BE SURE to move the vertices and sides of this parallelogram around after completing each step in order to help you make more informed conjectures:

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?

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