A square.
Yes at right angles
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
A rhombus or a square. In rectangles (unequal side length) this does not occur.
Rhombuses and parallelograms both have opposite sides that are parallel and equal in length. Additionally, the opposite angles in each shape are equal, and the diagonals bisect each other. In a rhombus, the diagonals are also perpendicular to each other and bisect the angles, which is not necessarily true for all parallelograms.
A rhombus is a type of quadrilateral where all four sides are of equal length. It has opposite angles that are equal and adjacent angles that are supplementary. The diagonals of a rhombus bisect each other at right angles and also bisect the angles of the rhombus. Additionally, a rhombus can be considered a special case of both a parallelogram and a kite.
Yes at right angles
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
A rhombus or a square. In rectangles (unequal side length) this does not occur.
They must meet at right angles and only one of them must bisect the other. (if both bisect one another, the quadrilateral will be a square).
Rhombuses and parallelograms both have opposite sides that are parallel and equal in length. Additionally, the opposite angles in each shape are equal, and the diagonals bisect each other. In a rhombus, the diagonals are also perpendicular to each other and bisect the angles, which is not necessarily true for all parallelograms.
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * all angles are 90 degrees * both pairs of opposite angles are congruent * the diagonals bisect each other.
A rhombus is a type of quadrilateral where all four sides are of equal length. It has opposite angles that are equal and adjacent angles that are supplementary. The diagonals of a rhombus bisect each other at right angles and also bisect the angles of the rhombus. Additionally, a rhombus can be considered a special case of both a parallelogram and a kite.
The shape you are describing is a rhombus. A rhombus has four sides of equal length, but its diagonals are not equal; instead, they bisect each other at right angles. This distinguishes it from a square, which has both equal sides and equal diagonals.
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
always
A rhombus is a type of quadrilateral where all four sides are of equal length. Opposite angles are equal, and adjacent angles are supplementary, meaning they add up to 180 degrees. The diagonals of a rhombus bisect each other at right angles and also bisect the angles at the vertices. Additionally, a rhombus is a special case of both a parallelogram and a kite.
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.