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The diagonals of a square are always perpendicular.
Proof: Without loss of generality, assume the square has side length 1 and one vertex is at the origin. The square ABCD is given by:
A = (0,0) , B = (1,0) , C = (1,1) , D = (0,1)
The diagonals are d1=AC and d2=BD. Finding equations for each of them yields
d1 = x
d2 = 1-x (you can double check this)
So, the relative slopes are 1 and -1. Since their product is -1, they are perpendicular.
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Are a trapeziums diagonals perpendicular?
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
Are the diagonals of a square not always be perpendicular?
No.
Are the diagonals perpendicular?
Not always but they are perpendicular in a square, a rhombus and a kite in that the diagonals intersect each other at 90 degrees
What is the name of the quadrilateral that are perpendicular and bisect each other?
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.
How many diagonals does a square have and are they perpendicular?
none, no
Are the diagonals of a rectangle sometimes always or never perpendicular?
The diagonals of a rectangle are never perpendicular but the diagonals of a square are perpendicular
What diagonals are always perpendicular?
The diagonals of a square are always perpendicular.
If the diagonals of a quadrilateral are perpendicular can the quadrilateral be a rectangle?
Sure, a square is a rectangle and the diagonals of a square are perpendicular.
What is an attribute of a square that is not an attribute of rectangle?
The diagonals of a square are perpendicular whereas the diagonals of a rectangle are not perpendicular.
What is an attribute of a square that is not an attribute of a rectangle?
The diagonals of a square are perpendicular whereas the diagonals of a rectangle are not perpendicular.
Are the diagonals of a rhombus are always perpendicular?
No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.
Are a trapeziums diagonals perpendicular?
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
Does a parallelogram have perpendicular diagonals?
No, not necessarily. It would have to also be a square or a kite in order to have perpendicular diagonals.
Does a square have perpendicular diagonals?
Yes
What polygon has perpendicular diagonals?
square
Are the diagonals of a square not always be perpendicular?
No.
Diagonals of a rectangle are perpendicular?
No but the diagonals of a square intersect at right angles
