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Which quadrilaterals must have perpendicular diagonals?
A square, a rhombus and a kite are all 4 sided quadrilaterals that have perpendicular diagonals.
Are the diagonals of a trapezoid equal?
Not for all trap. Only for an isosceles trapezoid. Well, for an Isosceles trapezoid, it could be any of the two diagonals! In order to have an isosceles trapezoid with the diagonals equal, the isosceles part MUST be precise and specific.
Why must concave quadrilaterals be irregular?
A regular polygon has all its angles of equal measure, and its sides of equal length. In the case of a quadrilateral, that would mean a square. A concave quadrilateral must have at least one reflex angle and so cannot be a square. So it cannot be regular.
Do the diagonals of a rectangle have to be perpendicular?
Nope, in order for the diagonals to be perpendicular the shape must be a square (which I guess is a type of rectangle :). The diagonals will cross, but not at a 90degree angle, unless the sides are of equal length.Not unless the rectangle has 4 equal sides, making it a squre.
How many diagonals in an isosceles triangle?
An isosceles triangle has three sides of equal length. To find the number of diagonals in an isosceles triangle, we can use the formula n(n-3)/2, where n is the number of sides of the polygon. In this case, an isosceles triangle has 3 sides, so plugging in n=3, we get 3(3-3)/2 = 0 diagonals. Therefore, an isosceles triangle has 0 diagonals.
