I am a quadrilateral. All my sides are equal. I have no parallel sides. I have one line of symmtry. What am I?
It is a tropeziod
rombus
http://www.mathsisfun.com/geometry/symmetry-line-plane-shapes.html
To determine the type of quadrilateral described, we need to examine the given properties step by step.
First, all sides of the quadrilateral are equal. This indicates that it is an equilateral quadrilateral.
Next, it is mentioned that the quadrilateral has no parallel sides. This narrows down the options to a specific type of equilateral quadrilateral known as a kite.
Lastly, it is stated that the quadrilateral has one line of symmetry. A kite indeed possesses a single line of symmetry that bisects the angle formed by its unequal sides.
Therefore, based on the given information, the quadrilateral described is a kite.