Answer:
To find the quadrilateral by its most specific name.
We know that,
From the properties of square, The interior angle of a square at each vertex is 90°.The diagonals of a square bisect each other at 90°.
The quadrilateral is a Square.
The correct option is : Square all four angles are 90°
and the diagonals are perpendicular.
To find x and y.
From the figure we get,
The diagonals divide the square into two congruent triangles. It divides the vertex into two equal angle, that is 45 degrees.
Since the diagonals of a square bisect each other at 90°.
we get,
Answer is: x=9 and y=5