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The Properties of a Rhombus

Definitions and formulas for the perimeter of a rhombus, the area of a rhombus,  properties of the angles and sides of a rhombus
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perimeter of a rhombus area of a rhombus sides and angles
of a rhombus
properties of the
diagonals of a rhombus
properties of the
angles of a rhombus
 

 

The perimeter of a rhombus:

To find the perimeter of a rhombus, just add up all the lengths of the sides:

Perimeter of a rhombus = x+x+x+x = 4x

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The area of a rhombus:
To find the area of a rhombus, multiply the lengths of the two diagonals and divide by 2 (same as multiplying by 1/2):

Area of a rhombus = (1/2)ab

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The sides and angles of a rhombus:

rhombus

The sides of a rhombus are all congruent (the same length.)

Opposite angles of a rhombus are congruent (the same size and measure.)

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Properties of the diagonals of a rhombus:

rhombus

The intersection of the diagonals of a rhombus form 90 degree (right) angles.  This means that they are perpendicular.

The diagonals of a rhombus bisect each other.  This means that they cut each other in half.

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Properties of the angles of a rhombus:

rhombus

Adjacent sides (ones next to each other) of a rhombus are supplementary.  This means that their measures add up to 180 degrees.

x degrees + y degrees = 180 degrees