5)ABCD is a rhombus with non-perpendicular adjacent sides.
1) Let's apply a graphical approach to this question by plotting the points on a Cartesian plane.
2)
Instead of using the distance formula, let's count on the graph the measurements of all legs, and use the Pythagorean relation.
[tex]AB\Rightarrow a^2=b^2+c^2\Rightarrow a^2=1^2+2^2\Rightarrow a^2=5\Rightarrow a=\sqrt{5}[/tex]
Note that we counted the "rise" vertical displacement and the "run" horizontal displacement the hypotenuse is the length
Therefore, we can conclude that all sides have the same measurement.
AB=BC =CD= DA
3) So now, let's examine the options, since a Rhombus and a Square have congruent sides, we can keep with them. There is not much information to state that this is a square. Thus, the answer is:
5) ABCD is a rhombus with non-perpendicular adjacent sides.
