Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel.
a square
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.
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.
Equal diagonals refer to the diagonals of a geometric shape that are of the same length. In polygons, such as rectangles or squares, the diagonals are equal due to their symmetrical properties. For example, in a rectangle, both diagonals connect opposite corners and are equal in length, whereas in other shapes like trapezoids, the diagonals may not be equal. Equal diagonals play a key role in various geometric properties and calculations.
Yes, the diagonals of an isosceles trapezoid are equal in length. An isosceles trapezoid has one pair of parallel sides and the non-parallel sides (the legs) are of equal length, which leads to the diagonals being congruent. This property arises from the symmetry of the shape.
a square
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.
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.
Equal diagonals refer to the diagonals of a geometric shape that are of the same length. In polygons, such as rectangles or squares, the diagonals are equal due to their symmetrical properties. For example, in a rectangle, both diagonals connect opposite corners and are equal in length, whereas in other shapes like trapezoids, the diagonals may not be equal. Equal diagonals play a key role in various geometric properties and calculations.
a pentagon
Yes, the diagonals of an isosceles trapezoid are equal in length. An isosceles trapezoid has one pair of parallel sides and the non-parallel sides (the legs) are of equal length, which leads to the diagonals being congruent. This property arises from the symmetry of the shape.
A rectangle (or square), isosceles trapezium and some kites.
The shape you're describing is a kite. A kite has two pairs of adjacent sides that are equal in length, and its diagonals intersect at right angles (90 degrees). However, the lengths of the diagonals are not equal, which distinguishes it from a rhombus.
There are very many attributes. Some of these are:It is a two-dimensional shape. It has four sides. The sides are of equal length. It has two pairs of parallel sides. It has four vertices. Each vertex is a right angle. It has two diagonals. The diagonals bisect each other. The diagonals meet at right angles. It has rotational symmetry of order four. It has four axes of reflective symmetry. If the sides are of rational length then the diagonals are of irrational length (and conversely).
A rectangle.
The statements:It is a quadrilateral (a shape with 4 sides)It has two pairs of opposite sides equal of equal length which are parallelAll angles are equal at 90°The diagonals are equal in length and bisectall squares are rectangles but not all rectangles are squaresare all true about squares and rectangles
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.