Below are 6 different quadrilaterals: Trapezoid, Parallelogram, Kite, Rectangle, Rhombus & Square. Observe the properties of the [b]sides[/b], [b]angles [/b](opposing angles, congruent, supplementary, complimentary, total), [b]diagonals[/b] (perpendicular, bisect, congruent) and the properties of the [b]symmetry[/b] (line and point).

After observing the different quadrilaterals it is time to do some further investigating in order to create a tree or web diagram that accurately illustrates the [i]hierarchy[/i] of these quadrilaterals. We need to determine which shapes can be considered other shapes and which ones are in a category of their own. We know one thing, they are all quadrilaterals so (hint, hint) quadrilateral goes at the top of our tree. [br][br]Create a tree and definitions on a separate sheet of paper. Here are some things to pay attention to as you categorize your shapes:[br][br][b]1. The properties of the sides:[/b][br] a. Grab a corner and drag the shape around. How do the sides change, are they [i]congruent[/i]? Are they [i]parallel[/i]? Do the sides stay proportionate to one another when you change the size of the shape?[br][br][b][br]2. The properties of the angles:[/b][br] a. How do the angles change when you move the shapes around? How are the opposite angles similar or different? Are they [i]consecutive[/i] or [i]supplementary[/i]? Is there a [i]right angle[/i]? If so, how many? Can you make a right angle by moving the shape around or change an existing right angle to a different angle? Can you change an angle to make it [i]obtuse[/i] or [i]acute[/i] or vice versa? [br][br][br][b]3. The Properties of the Diagonals:[/b][br] a. Are the diagonals [i]perpendicular[/i] (create a 90 degree angle)? Are the diagonals [i]bisected[/i] by the other or not (cut the shape in half)? Are they [i]congruent[/i] or not? [br][br][b][br]4. The Properties of Symmetry (Line and Point): [/b][br] a. If you were to fold the shape in half from any point does it demonstrate [i]symmetry[/i] and fold perfectly in half? If you were to [i]rotate[/i] the shape at which degrees does it return to its normal position (90, 180, 270, 360)? [br][br][br][b]5. EXTRA HELP:[/b][br] a. Move the shapes on top of each other. Do the shapes line up? Do any of the sides line up? Are the angles similar? Can you manipulate a shape to fit inside another shape? [br] b. [b]HINT[/b]: The [i]Kite[/i] is picky for a reason, it is very [u]unique.[br][br][br][/u][b]6. CREATE:[br][/b] a. [u]Definitions[/u]: What minimal definitions can you come up with for the shapes? These definitions must be unique to the point where it could only describe one shape. Manipulate the shapes to try and disprove your definitions so you know they are true. List your final definitions on your paper. You must define these seven terms: quadrilateral, trapezoid, parallelogram, rhombus, kite, rectangle, square[br] b. [u]Hierarchy[/u]: Create a tree or hierarchy on your sheet of paper.

5.G.B.4: Classify two-dimensional figures in a hierarchy based on properties.