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.
Chat with our AI personalities
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
All quadilatrals have diagonals that bisect each other.
yes, the diagonals of a kite bisect each other.
Perpendicular lines intersect."lines" are infinitely long, if you want to say that anypoint on an infinitely long line bisects that line (which IS the case in several geometrical theories but not all!) then:YES, perpendicular lines bisect each other.otherwise:NO, you cannot bisect something that is infinitly long.
The diagonals of a square bisect each other at 90 degrees