No.
If two lines intersect they cross each other.
To bisect each other, means that the lines not only intersect but that also that the point where the two line[ segment]s cross is the mid point of both of the line[ segment]s.
Examples, consider:
The diagonals of a kite ABCD with sides AB & AD equal (2 cm each), and BC & DC equal and twice the length of the other two sides (4 cm each). The diagonals AC and BD intersect each other; BD is bisected by AC but AC is NOT bisected by BD.
The diagonals of a right angle trapezium ABCD with ∠DAB and ∠ADC right angles (so sides AB and DC are parallel) and with sides AB = 2 cm, CD = 14 cm and AD = 5 cm (side BC = 13 cm). The diagonals AC and BD intersect, but NEITHER bisects the other.
The diagonals AC and BD of a square ABCD not only intersect each other, but they also do, in this case, bisect each other.
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
In an arrowhead (or delta) shape, the diagonals do not bisect each other at their midpoints. Instead, one diagonal is typically longer and intersects the other at a point that is not the midpoint of either diagonal. Thus, while they do intersect, they do not bisect each other.
Quadrilaterals that have diagonals which do not bisect each other include general parallelograms, trapezoids (especially isosceles trapezoids), and irregular quadrilaterals. In these shapes, the diagonals may intersect at a point but do not split each other into equal halves. This differentiates them from special cases like rectangles and squares, where the diagonals do bisect each other.
Quadrilaterals with diagonals that are perpendicular to each other include rhombuses, squares, and kites. In a rhombus and a square, the diagonals bisect each other at right angles. In a kite, the diagonals intersect at right angles but do not necessarily bisect each other. These properties are characteristic of these specific types of quadrilaterals.
If two chords of a circle bisect each other, they must intersect at a point that is equidistant from both endpoints of each chord. By the properties of circles, the perpendicular bisector of any chord passes through the center of the circle. Since the two chords bisect each other at the same point and are both perpendicular to the line connecting their endpoints, this point must also be the center of the circle, making both chords diameters of the circle. Thus, if two chords bisect each other, they are indeed diameters of the circle.
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
In an arrowhead (or delta) shape, the diagonals do not bisect each other at their midpoints. Instead, one diagonal is typically longer and intersects the other at a point that is not the midpoint of either diagonal. Thus, while they do intersect, they do not bisect each other.
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees.
Yes, they do. Also, they are congruent to each other. * * * * * They do bisect each other but they are not congruent.
The diagonals of a square, rhombus and a kite bisect each other at right angles.
Quadrilaterals that have diagonals which do not bisect each other include general parallelograms, trapezoids (especially isosceles trapezoids), and irregular quadrilaterals. In these shapes, the diagonals may intersect at a point but do not split each other into equal halves. This differentiates them from special cases like rectangles and squares, where the diagonals do bisect each other.
a square _ |_|
Square
Quadrilaterals with diagonals that are perpendicular to each other include rhombuses, squares, and kites. In a rhombus and a square, the diagonals bisect each other at right angles. In a kite, the diagonals intersect at right angles but do not necessarily bisect each other. These properties are characteristic of these specific types of quadrilaterals.
A rectangle. Note: a square is a regular rectangle where all sides are equal; in this case not only are the diagonals equal and bisect each other, they also bisect perpendicularly, that is at 90o to each other.
Quadrilaterals do not bisect each other. They could in special cases. In parallelograms (types of quadrilaterals), the diagonals bisect each other.
Parallelograms do not normally bisect each other.