Yes, the diagonals of a square are congruent (equal in length) and are perpendicular.
Chat with our AI personalities
Square, rhombus and a kite
A square, a rhombus and a kite all have diagonals that are perpendicular and meet each other at right angles.
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
There are 2 pairs and together they make 4 right angles in a square which also has a pair of perpendicular diagonals that intersect at right angles
A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.