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Rhombus: Properties and ShapeSides, 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!
If side WX = 22, what is WZ? Side WZ WZ = 22 
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 
Is the four-sided shape below, MNOP, a rhombus? If not, classify the shape.
Answer The shape below is not a rhombus because its diagonals are not perpendicular. However, since opposite sides are congruent and parallel, and the diagonals bisect each other. The shape below is a paralelogram. 
Angles of a Rhombus
The diagonals bisect angles in each corner of a rhombus. A proof of this property of the diagonals 
What is the measure of the following angles in rhombus ABCD? 
ACD = 46 °
ABD = 44°
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 the value of x if angle BCA = 3x -2 and angle ACD = 12 + x?
Answer 
WHat is the value of x given the angle measurements below?
Answer 
What is the area of HIJK?
Answer Area = ½(IK ×HJ) =½ (9 ×12) =54 
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