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.
square
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.
A square has diagonals that split the angles into two 45-degree parts, thus bisecting them.
Only a square and a rhombus will have all its diagonals bisecting vertices. In other shapes some - but not all - diagonals can bisect vertices.
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.
Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.
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.
No, it is not.
All quadrilaterals have intersecting diagonals.Some symmetric quadrilaterals have perpendicularly bisecting diagonals.Equilateral parallelogramsof which the square is a special case...and the kite where two pairs of adjacent sides are the same length has one diagonal perpendicularly bisected by the other
It is a kite that has diagonals that intersect each other at 90 degrees.