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What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?

It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees The diagonals of a rhombus are not equal in length but they meet at right angles.


What quadrilateral has the diagonals of a perpendicular bisectors of equal length?

A square.


Are the diagonals of a rhombus perpendicular and bisect each other?

Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.


Are the diagonals of rectangles perpendicular?

In general they are not; they are perpendicular only if the rectangle is also a sqare. However, the diagonals of a retangle have another attribute: They are of equal length and bisect each other.


A quadrilateral has one pair of equal length sides and diagonals which are not perpendicular. Name the quadrilateral or quadrilaterals.?

trapezium


How are the diagonals of a square?

The diagonals of a square are congruent, bisect each other, perpendicular, and either diagonal's length is sqrt(2) times any side length.


What is a quadrilateral with diagonals that bisect each other?

The diagonals of any parallelogram (square, rhombus, rectangle, rhomboid) bisect each other. The difference is the the diagonals are equal in length for a square and rectangle, and not equal for a rhombus or rhomboid (oblique diamond).


What quadrilateral has diagonals that bisect both pair of opposite angles?

A rhombus or a square. In rectangles (unequal side length) this does not occur.


Do diagonals of a rectangle bisect each other?

The diagonals of a square (which always bisect each other) are the same length.


How many diagoanals does a Quadrilateral have?

A Quadrilateral has two diagonals. IF the quadrilateral is a rectangle, then the two diagonals are equal in length.


In which quadrilateral are the diagonals always congruent?

The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.


What are the conditions of a rectangle?

A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length. The diagonals of a rectangle are also equal in length and bisect each other at 90 degrees.