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.
rhombus
A parallelogram (or rectangle) which is not a rhombus (or square).
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 pentagon
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.
square
It is no different from a quadrilateral.A quadrilateral is any shape with four sides and a rhombus has four sides, therefore it is a quadrilateral.