Constructing 2D figures

The topic  appears under the 7th Grade Math Mission. This exercise describes quadrilaterals and explores some congruency theorems for them.

Types of Problems
There are two types of problems in this exercise:


 * 1) Draw the quadrilateral and tell whether another can exist: This problem has the student draw a quadrilateral satisfying certain conditions on a coordinate axes. After drawing the figure, the student is also asked to determine if the figure drawn is unique or if another could exist.C2df1.png
 * 2) Tell whether another figure could exist: This problem is much like the previous, except this time the student is not required to actually draw the shape.C2df2.png

Strategies
Geometric reasoning is important for this problem but there are not a good set of rules to follow in any standard textbook. Knowledge of the different quadrilaterals is the best point of reference to complete this exercise.
 * 1) There is no collection of quadrilateral congruency theorems so these problems are most like done efficiently by drawing them on paper or visualizing what is occurring.