High School Math : Rhombuses
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Example Questions
Example Question #1 : How To Find If Rhombuses Are Similar
A quadrilateral ABCD has diagonals that are perpendicular bisectors of one another. Which of the following classifications must apply to quadrilateral ABCD?
I. parallelogram
II. rhombus
III. square
II and III only
I and III only
I, II, and III
I and II only
I and II only
If the diagonals of a quadrilateral are perpendicular bisectors of one another, then the quadrilateral must be a rhombus, but not necessarily a square. Since all rhombi are also parallelograms, quadrilateral ABCD must be both a rhombus and parallelogram.
Example Question #1 : Rhombuses
This figure is a rhombus with a side of 8 in.
What is the area of the rhombus (in2)?
Not enough information
Not enough information
In order to determine the area of a rhombus you either need a base and a height OR the length of the two diagonals OR the base and an angle. Because we are only given the base with no information about the height, there is not enough information to determine the area of the rhombus.
Example Question #2 : How To Find The Area Of A Rhombus
Find the area of the following rhombus:
The perimeter of the rhombus is 
The formula for the perimeter of a rhombus is:
Where 
Plugging in our values, we get:
The formula for the area of a rhombus is:
Where 
By drawing the diagonals, we create a right triangle with the hypotenuse as 
Since we know that 
Plugging in our values, we get:
Example Question #2 : Rhombuses
This figure is a rhombus with a side of 8 in.
What is the perimeter of the rhombus (in)?
The perimeter of the rhombus is the distance around the outside of the figure. Since a rhombus has 4 congruent sides, the perimeter is simply 
Example Question #5 : Rhombuses
You are given a rhombus with a side of 
A rhombus is a quadrilateral (
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