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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.
Is it true that the diagonals of a quadrilateral must bisect each other and be perpendicular to guaantee that the quadrilateral is a parallelogram?
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
Are the diagonals of rectangles perpendicular?
In general they are not; they are perpendicular only if the rectangle is also a sqare. However, the diagonals of a retangle have another attribute: They are of equal length and bisect each other.
What shape is a parallelogram with all angles equal to 90 degrees and it's diagonals are perpendicular on each other?
A square.
What is the area of rhombus DEFG if DF equals 10 and EG equals 11?
The diagonals of a rhombus are perpendicular to each other and bisect one another. So you can consider the diagonals dividing the rhombus into 4 identical, right-angled triangles where the sides subtending the right angle are of length 10/2 and 11/2. The area of each of these triangles is 1/2 * 10/2 * 11/2 = 110/8 There are 4 such triangles, so their combined area is 4 * 110 / 8 = 110 / 2 = 55 square units.
Are a trapeziums diagonals perpendicular?
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
How many diagonals does a rhombus have?
It has two diagonals, and they are perpendicular to each other.
Does a rhombus have two perpendicular sides?
No but its diagonals are perpendicular to each other
Diagonals of a rhombus are perpendicular to each other?
Yes, the diagonals of a rhombus are perpendicular to each other. Check out the related link at Mathopenref. It's pretty cool.
In which parallelogram are the diagonals perpendicular?
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
The diagonals of a rhombus are .?
perpendicular and bisect each other
Diagonals of a rhombus are?
Perpendicular bisectors of each other.
Are the diagonals of a rhombus perpendicular and bisect each other?
Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.
When are two lines in a rhombus are perpendicular to each other?
The diagonals of a rhombus are perpendicular to each other and are bisected at 90 degrees
Are the diagonals of a rhombus bisect each other?
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees.
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 pairs of perpendicular sides does a rhombus have?
A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles.
