Properties of the Square: Property 4

Property 4

Each diagonal of the square bisects two opposite angles.

Symbolic Representation

In the opposite figure,

∵ ABCD is a square

∴ AC bisects ∠BCD and ∠BAD

BD bisects ∠ABC and ∠CDA

Property 4 Each diagonal of the square bisects two opposite angles. Symbolic Representation In the opposite figure, ∵ ABCD is a square ∴ AC bisects ∠BCD and ∠BAD BD bisects ∠ABC and ∠CDA	Please enable Java for an interactive construction (with Cinderella).
	Drag free points A or B to realize that each diagonal of the square bisects two opposite angles.