Properties of the Square

Property 3

The two diagonals of the square are perpendicular and equal in length.

Symbolic Representation

In the opposite figure,

∵ ABCD is a square

∴ AC ⊥ BD

   AC = BD
 Please enable Java for an interactive construction (with Cinderella).
Drag free points A or B to realize that the two diagonals of the square are perpendicular and equal in length.