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Rhombus Diagonals Theorem
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Statement
The diagonals of a rhombus are perpendicular and bisect each other.
In simple terms:
In a rhombus, the diagonals cross at right angles (90°) and cut each other in half.
Example:
In rhombus ABCD, diagonals AC and BD intersect at E. Then:
AE = CE and BE = DE
∠AEB, ∠BEC, ∠CED, and ∠DEA are all right angles.
Why It Matters:
This property helps in proving a shape is a rhombus and in solving for unknown lengths or angles in rhombuses.
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