A rectangle (or square), isosceles trapezium and some kites.
When you draw the diagonals of a quadrilateral (a four-sided shape), they create triangles within the quadrilateral. These triangles are formed by connecting non-adjacent vertices of the quadrilateral. By understanding that the diagonals split the quadrilateral into smaller triangles, students can see how geometric shapes can be broken down and analyzed.
A parallelogram (or rectangle) which is not a rhombus (or square).
rhombus
A regular quadrilateral is a square. It is a four-sided figure with all sides being the same length and all angles equal (right angles).
Any rectangle will have diagonals that are equal. Don't forget that since squares are also a special type of rectangle that they would also have congruent diagonals as well.
A Rectangle.
You are a square or a rectangle
You are a square
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.
Two features of a rhombus are it is a quadrilateral shape because it has 4 sides which are equal in length and it has no corner right angles but its diagonals are perpendicular.
a square
A Rhombus * * * * * WRONG! A rhombus does not have equal diagonals. If it did it would be a square! The shape is a special case of a kite.
Any quadrilateral (4-sided shape) has 2 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.
A parallelogram with intersecting diagonals is a quadrilateral where opposite sides are parallel and equal in length, and the diagonals bisect each other. This means that the diagonals divide each other into two equal segments, which is a defining property of parallelograms. Additionally, the angles opposite each other are equal, and adjacent angles are supplementary. Thus, the intersecting diagonals further emphasize the symmetry and balance within the shape.
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.