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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.
What quadrilateral can have diagonals that are congruent but do not bisect each other?
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
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 is a shape with four sides and perpendicular diagonals?
A shape with four sides and perpendicular diagonals is called a rhombus. In a rhombus, all sides are of equal length, and the diagonals bisect each other at right angles. Additionally, the diagonals are not necessarily of equal length, which distinguishes a rhombus from a square.
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.
What quadrilateral can have diagonals that are congruent but do not bisect each other?
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
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 is a shape with four sides and perpendicular diagonals?
A shape with four sides and perpendicular diagonals is called a rhombus. In a rhombus, all sides are of equal length, and the diagonals bisect each other at right angles. Additionally, the diagonals are not necessarily of equal length, which distinguishes a rhombus from a square.
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.
