True
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.
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
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.
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.
A square.
No but the diagonals of a square, rhombus and a kite are perpendicular to each other
It has two diagonals, and they 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.
No but its diagonals are perpendicular to each other
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
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.
Perpendicular bisectors of each other.
perpendicular and bisect each other
The diagonals of a rhombus are perpendicular to each other and are bisected at 90 degrees
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees.
Not always but they are perpendicular in a square, a rhombus and a kite in that the diagonals intersect each other at 90 degrees
A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles.