Bowman’s Website

November 29, 2008

Geometry Notes — Special Parallelogram — Rhombus

Filed under: Geometry — Tags: — bowman @ 12:57 pm

Rhombus – a parallelogram with all sides congruent

A rhombus is a special type of parallelogram. With a rhombus, all four sides are the same length. Its a bit like a square that can ‘lean over’ and the interior angles need not be 90°. Sometimes called a diamond shape. That is how I would draw it — exaggerate the diamond shape.

rhombus-diamond

Things I know about a rhombus

  • 1.  4 sides and 4 angles
  • 2.  the sum of the interior angles is 360 and the sum of the exterior angles is 360
  • 3.  opposite sides are parallel
  • 4.  opposite sides are congruent
  • 5.  opposite angles are congruent
  • 6.  consecutive angles are supplementary
  • 7.  diagonals bisect each other
  • 8.  a single diagonal will divide a rhombus into two congruent triangles
  • 9.  all sides congruent
  • 10.  diagonals are perpendicular
  • 11.  diagonals bisect opposite angles

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Isn’t this pretty. I think so.

rhombus-flower

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