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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.
What else can I help you with?
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
How many diagonals does a square have and are they perpendicular?
none, no
How many perpendicular diagonals does a square have?
Two.
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
Are the diagonals of a square not always be perpendicular?
No.
What polygon has perpendicular diagonals?
square
Diagonals of a rectangle are perpendicular?
No but the diagonals of a square intersect at right angles
