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Earn +20 ptsQ: What quadrilateral does NOT always have perpendicular diagonals?
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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.
Which quadrilateral must have diagonals that are congruent and perpendicular?
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
Is it possible for a quadrilateral to have perpendicular diagonals without being a rhombus?
yes. A kite is not a rhombus, but has perpendicular diagonals.
A quadrilateral with equal diagonals that are also perpendicular?
A square
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
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