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Are diagonals of a trapezoid perpendicular?
Oh, dude, no way! Diagonals of a trapezoid are not necessarily perpendicular. It's like saying all cats are secretly plotting to take over the world - just because they're diagonal doesn't mean they're perpendicular, you know what I mean? So yeah, diagonals of a trapezoid can be any ol' angle they want, they don't have to be all right angles and stuff.
The diagonals of a quadrilateral must bisect each other?
The answer is no the diagonals do not have to bisect each other. That does not necessarily mean that there isn't a quadrilateral that has bisecting diagonals. A quadrilateral is a four-sided polygon which is a close plane figure; in this case with four sides. Meaning that all ends of the straight lines that configure a polygon must connect someway, somehow.
What does perpendicular mean in math terms?
It means that two lines intersect each other at a ninety degree angle.
What do right angles mean in maths?
right angles are perpendicular lines that intercept each other at right angles which is 90 degrees
Does to intersect each other mean also to bisect each other?
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.
