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    Home
    Algebra
    Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
  • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
  • Teacher Resources
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    Rhombus: Properties and Shape

    Sides, Angles and Diagonals

    A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent. Probalby the most famous rhombus out there is the baseball diamond. The distance between each base is the same, making the shape a rhombus!
      A square is a rhombus and a rectangle. In other words, if each angle of a rhombus is 90° then it's a square.

    Rhombus Sides





    All sides of a Rhombus are congruent. Therefore, AB= BC = CD = AD
    Rhombus Picture


    If side WX = 22, what is WZ?
     Side WZ  

    Sides of A Rhombus


    If side MN of rhombus LMNO is
    X + 5 and side LM is 2x − 9, what must be the value of x?
     Answer  
    What must be the value of x if side BA = 5x-11
    and side AD = 6x-18?
     Answer  
    Properties of rhombus

    Diagonals of a Rhombus

    Diagonals of Rhombus are Perpendicular


    Diagonals are perpendicular.
    • AOD = 90°
    • AOB = 90°
    • BOC = 90°
    • COD = 90°
    Is the four-sided shape below, MNOP, a rhombus? If not, classify the shape.
     Answer  
    Rhombus and Parallelograms Comparison
    Angles of a Rhombus

    Rhombus Angles
    The diagonals bisect angles in each corner of a rhombus.
    A proof of this property of the diagonals
    Rhombus Angles Bisect

    What is the measure of the following angles in rhombus ABCD?
    ACD
    ABD
     Answer  
    A generalization about the angles of a rhombus
    If you look at any rhombus as four triangles that are created by the diagonals such as , what is true about the outside angles in each triangle? An examples of outside angles are
    Answer

    What is the value of x if angle BCA = 3x -2 and angle ACD = 12 + x?
     Answer   Rhombus
    WHat is the value of x given the angle measurements below?
     Answer  
    Rhombus Angles Practice Problem
    Area of Rhombus

    Formula area of rhombus
    The formula for area of this shape
      Area = ½(diagonal1 × diagonal2)
    What is the area of HIJK?
     Answer  

    Rhombus Area

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