Rhombus Study Guide
Definition
A rhombus is a quadrilateral with all four sides of equal length. It is also a type of parallelogram, which means opposite sides are parallel and equal in length. Additionally, the diagonals of a rhombus bisect each other at right angles.
Properties
- All sides are of equal length
- Opposite angles are equal
- Diagonals bisect each other at right angles
- The diagonals are perpendicular bisectors of each other
- The diagonals are equal in length
Formulas
Let's denote the side length of the rhombus as "a" and the diagonals as "d1" and "d2". Here are some important formulas:
Example Problem
Find the area of a rhombus with diagonals of length 6 cm and 8 cm.
Area = (6 * 8) / 2 = 24 square cm
Conclusion
A rhombus is a special type of quadrilateral with unique properties and formulas for area and perimeter calculation. Understanding these properties and formulas will help in solving problems related to rhombuses.
.◂Math Worksheets and Study Guides Eighth Grade. Patterns in geometry
Study Guide
Patterns in geometry 
Worksheet/Answer key
Patterns in geometry Worksheet/Answer key
Patterns in geometry Worksheet/Answer key
Patterns in geometry
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Apply transformations and use symmetry to analyze mathematical situations.
Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.
Examine the congruence, similarity, and line or rotational symmetry of objects using transformations.