rhombus
A quadrilateral with four sides of equal length with no right angles.
A rhombus is a quadrilateral (a polygon with four sides) that has all its sides of equal length. It is also known as a diamond or a lozenge, and it belongs to a family of quadrilaterals that includes the square, rectangle, and parallelogram.
Properties of a rhombus:
1. All sides of a rhombus are equal in length.
2. Diagonals of a rhombus are perpendicular bisectors.
3. The opposite angles of a rhombus are equal to each other.
4. The sum of any two adjacent angles is 180 degrees.
5. The diagonals bisect each other at right angles.
6. Each diagonal divides the rhombus into two congruent triangles.
7. The area of a rhombus is related to the length of its diagonals according to the formula: area = (product of diagonals)/2.
Examples of rhombus-shaped objects include the diamond on a playing card and the shape of a baseball field. As a professional tutor, it’s important to understand the properties and characteristics of different shapes, like the rhombus, so that you can help your students better understand concepts related to geometry and mathematics.
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