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In a parallelogram the diagonals are perpendicular bisectors of each other What kind of parallelogram must the figure be?
It is a rhombus
Are the diagonals of a rhombus sometimes perpendicular?
A rhombus has 4 equal sides and the diagonals are always perpendicular
Which two quadrilaterals have perpendicular diagonals?
Any type of rhombus has perpendicular diagonals. Please note that squares are a type of rhombus.
Are a trapeziums diagonals perpendicular?
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
Which quadrilateral has perpendicular diagonals?
Rhombus
Diagonals of a rhombus are?
Perpendicular bisectors of each other.
What kind of parellogram is it If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other?
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
In a parallelogram the diagonals are perpendicular bisectors of each other What kind of parallelogram must the figure be?
It is a rhombus
Are diagonals congruent if they bisect each other?
Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.
Are the diagonals of a rhombus perpendicular?
Yes, the diagonals of a rhombus are 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.
Does a rhombus have perpendicular?
The diagonals of a rhombus are perpendicular
Are the diagonals of a rhombus sometimes perpendicular?
A rhombus has 4 equal sides and the diagonals are always perpendicular
Why are the diagonals of a square perpendicular bisectors of each other?
You could prove this by congruent triangles, but here are two simpler arguments: --------------- Since a square is a rhombus, and the diagonals of a rhombus are perpendicular bisectors of each other, then the diagonals of a square must be perpendicular bisectors of each other -------------------- A square has four-fold rotational symmetry - as you rotate it around the point where the diagonals cross, there are four positions in which it looks the same. This means that the four angles at the centre must be equal. They will each measure 360/4 = 90 degrees, so the diagonals are perpendicular. Also. the four segments joining the centre to a vertex are all equal, so the diagonals bisect each other.
If a parallelogram is a rhombus then its diagonals are?
A parallelogram is a rhombus if and only if the diagonals are perpendicular
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.
Which two quadrilaterals have perpendicular diagonals?
Any type of rhombus has perpendicular diagonals. Please note that squares are a type of rhombus.
