[size=150]Given Segment BE is congruent to segment ED and that angle DEB is right, what kind of quadrilateral could this be, and how do you know?[/size]

This figure has no constraints (givens). Drag the points around. [br]Could this figure ever be a trapezoid? Under what conditions? How do you know?[br]Could this figure ever be an isosceles trapezoid? Under what conditions? How do you know?[br]Could this figure ever be a kite? Under what conditions? How do you know?[br]Could this figure ever be a parallelogram? Under what conditions? How do you know?[br]Could this figure ever be a rectangle? Under what conditions? How do you know?[br]Could this figure ever be a rhombus? Under what conditions? How do you know?[br]Could this figure ever be a square? Under what conditions? How do you know?

This figure has one constraint (givens): Segment BE is congruent to segment ED. [br]In other words, we say E is the _______ of segment BE.[br]Drag the points around. [br]Could this figure ever be a trapezoid? Under what conditions? How do you know?[br]Could this figure ever be an isosceles trapezoid? Under what conditions? How do you know?[br]Could this figure ever be a kite? Under what conditions? How do you know?[br]Could this figure ever be a parallelogram? Under what conditions? How do you know?[br]Could this figure ever be a rectangle? Under what conditions? How do you know?[br]Could this figure ever be a rhombus? Under what conditions? How do you know?[br]Could this figure ever be a square? Under what conditions? How do you know?

This figure has one additional constraint (givens): Segment BD is perpendicular to segment AC. [br][br]Drag the points around. [br]Could this figure ever be a trapezoid? Under what conditions? How do you know?[br]Could this figure ever be an isosceles trapezoid? Under what conditions? How do you know?[br]Could this figure ever be a kite? Under what conditions? How do you know?[br]Could this figure ever be a parallelogram? Under what conditions? How do you know?[br]Could this figure ever be a rectangle? Under what conditions? How do you know?[br]Could this figure ever be a rhombus? Under what conditions? How do you know?[br]Could this figure ever be a square? Under what conditions? How do you know?