Question 1005157: 5)a. Three vertices of a kite are (6,8), (9,11),and(12,8). What are the coordinates of the fourth vertex?
b.Three vertices of a parallelogram are (0,0) (4,0), and (0,6). Find the fourth vertex. There are three possible solutions.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
It depends on your particular definition of a kite.
The broadest definition where rhombi and squares are considered special cases of the kite and concave polygons (sometimes called darts) are included in the definition of a kite, any point of the form (9,y) for all real y not equal to 11 would satisfy the requirement. If (9,11) were the 4th point, then you would not have a quadrilateral at all.
If rhombi and squares are excluded, then y = 5 must be excluded.
If concave polygons are excluded, then y > 5 must be excluded.
John
My calculator said it, I believe it, that settles it
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