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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.

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Q: Does to intersect each other mean also to bisect each other?
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Do the diagonals of a rhombus bisect each other?

Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.


Are the diagonals of a rhombus bisect each other?

The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees.


Do the diagonals of a parallelogram bisect each other?

Yes, they do. Also, they are congruent to each other. * * * * * They do bisect each other but they are not congruent.


What is diagnals intersect at right angles?

The diagonals of a square, rhombus and a kite bisect each other at right angles.


Which is a parallelogram with four congruent sides whose diagonals bisect each other and intersect at four right angles?

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Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

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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.


What quadrilaterals bisect each other?

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Do parallelograms always bisect each other?

Parallelograms do not normally bisect each other.


Why do diagonals on a kite bisect each other?

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Do the diagonals of a parrallelogram bisect each other?

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Which quidrilaterals have diagnols that bisect each other?

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