Properties of the Rhombus

Property 2

Each diagonal of the rhombus bisects the two opposite angles.

Symbolic Representation


In the opposite figure,

∵ ABCD is a rhombus.

∴ AC bisects ∠BCD and ∠BAD
   
   BD bisects ∠ABC and ∠CDA
Please enable Java for an interactive construction (with Cinderella).
Drag free points A and B, or semi free point C to realize that each diagonal of the rhombus bisects the two opposite angles.