Respuesta :
The quadrilateral must have diagonals that are congruent and perpendicular is Square.
What are quadrilaterals?
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.
According to the question
Properties of following for their diagonals are :
Rhombus :
In a rhombus, diagonals bisect each other at right angles.
Diagonals bisect the angles of a rhombus.
Square:
The diagonals of the square bisect each other at 90°
The two diagonals of the square are equal to each other.
Trapezoid:
The length of both the diagonals is equal.
The diagonals of a trapezium always intersect each other.
Parallelogram:
Each diagonal of a parallelogram separates it into two congruent triangles.
The diagonals of a parallelogram bisect each other.
Therefore, according to there properties for their diagonals condition
that quadrilateral must have diagonals that are congruent and perpendicular is satisfied by square only .
Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.
To know more about quadrilateral here:
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