Properties of the Rhombus: Property 3

Property 3

The two diagonals of the rhombus are perpendicular and bisect each other.

Symbolic Representation

In the opposite figure,

∵ ABCD is a rhombus

M is the intersection point of its diagonal

∴ AC ⊥ BD (two perpendicular diagonals)

AM = MC (M is the midpoint of AC)

BM = MD (M is the midpoint of BD)

Property 3 The two diagonals of the rhombus are perpendicular and bisect each other. Symbolic Representation In the opposite figure, ∵ ABCD is a rhombus M is the intersection point of its diagonal ∴ AC ⊥ BD (two perpendicular diagonals) AM = MC (M is the midpoint of AC) BM = MD (M is the midpoint of BD)	Please enable Java for an interactive construction (with Cinderella).
	Drag free points A and B, or semi free point C to realize that the two diagonals of the rhombus are perpendicular and bisect each other.