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Rhombus

A parallelogram in which all the edges are of equal length is called a rhombus, or a diamond.

In addition to the general properties of parallelograms, in a rhombus, the diagonals bisect the angles, and the diagonals are perpendicular to each other.

We will show these properties using triangle congruence.

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Now that we've explained the basic concept of rhombus in geometry, let's scroll down to work on specific geometry problems relating to this topic.

rectangle inside a rhombus

Quadrilateral Formed by Joining Midpoints of Rhombus

rhombus with diagonals

A Parallelogram with Perpendicular Diagonals is a Rhombus

Geometry shape: diamond with diagonals

Properties of Rhombus: The Opposite Angles are Congruent

Diagonals of a Rhombus are Perpendicular to Each Other

Geometry shape: diamond with diagonals

Rhombus Diagonals Bisect the Angles

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About

Welcome to Geometry Help! I'm Ido Sarig, a high-tech executive with a BSc degree in Computer Engineering and an MBA degree in Management of Technology. I'm here to tell you that geometry doesn't have to be so hard! My goal with this website is to help you develop a better way to approach and solve geometry problems, even if spatial awareness is not your strongest quality. Read More…

Geometry Topics

  • Area of Geometric Shapes
  • Circles
    • Arcs, Angles, and Sectors
    • Chords
    • Inscribed Shapes
    • Tangent Lines
  • Lines and Angles
    • Intersecting Lines and Angles
    • Parallel Lines
    • Perpendicular lines
  • Pentagons and Hexagons
  • Perimeter of Geometric Shapes
  • Polygons
  • Quadrangles
    • Kites (Deltoids)
    • Parallelograms
    • Rectangles
    • Rhombus
    • Squares
    • Trapezoids
  • Triangles
    • Congruent Triangles
    • Equilateral Triangles
    • Isosceles Triangles
    • Pythagorean Theorem
    • Right Triangles
    • Similar Triangles
    • Triangle Inequalities

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