Open the GSP file called ExploringPropertiesofQuads.gsp

•    This sketch contains the following properly constructed quadrilaterals: square, rectangle, rhombus, parallelogram, kite, and trapezoid.
•    You can take measurements on any of these shapes as needed throughout this exploration.


1.    Drag the “Square Maker” shape to the center of the sketch.  As you drag the diagram, answer the following questions.
    a.    How are the lengths of the sides related?                    

    b.    How are the measures of the angles related?                    

For the following, answer sometimes, always, or never

    c.    A pair of opposite sides are parallel.                         

    d.    Both pairs of opposite sides are parallel.                    

    e.    All angles are right angles.            
                

2.    Drag the “Rhombus Maker” shape to the center of your sketch (put the “square maker” back at the top).  As you drag the diagram, answer the following questions.

    a.    How are the lengths of the sides related?                    

    b.    How are the measures of the angles related?                    

For the following, answer sometimes, always, or never

    c.    A pair of opposite sides are parallel.                         

    d.    Both pairs of opposite sides are parallel.                    

    e.    A pair of opposite angles are congruent.                    

    f.    Both pairs of opposite angles are congruent.                    

    g.    A rhombus is a square.                            

    h.    A square is a rhombus.                            
 

3.    Drag the “Rectangle Maker” shape to the center of your sketch (put the “rhombus maker” back at the top).  As you drag the diagram, answer the following questions.
    a.    How are the lengths of the sides related?                    

    b.    How are the measures of the angles related?                    

For the following, answer sometimes, always, or never

    c.    A pair of opposite sides are parallel.                         

    d.    Both pairs of opposite sides are parallel.                    

    e.    All angles are right angles.                            

    f.    A rectangle is a square.                            

    g.    A square is a rectangle.                            

    h.    A rhombus is a rectangle.                            


4.  IF TIME: explore a construction of a parallelogram.  As you drag the diagram, answer the following questions.

    a.    How are the lengths of the sides related?                    

    b.    How are the measures of the angles related?                    

For the following, answer sometimes, always, or never

    c.    A pair of opposite sides are parallel.                         

    d.    Both pairs of opposite sides are parallel.                    

    e.    A pair of opposite angles are congruent.                    

    f.    A parallelogram is a rectangle.                            

    g.    A rhombus is a parallelogram.                            

    h.    A square is a parallelogram.