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What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?
It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees The diagonals of a rhombus are not equal in length but they meet at right angles.
Why is a square a rhombus but a rhombus is not a square?
Both are quadrilaterals with all sides of equal length. All four vertices of a square must be right angles whereas a rhombus has two pairs of equal angles.
Why do the diagonals of a rhombus not have to be the same length?
The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.
What is the angle sum rule for all quadrilaterals?
The sum of all (interior) angles must equal 360 degrees
What is the quadrilateral with three equal angles?
With quadrilaterals, if there are three equal angles, then we know that the fourth angle must be equal, so the quadrilateral is a rectangle. * * * * * That is absolute rubbish. You can have a quadrilateral with three angles of 70 degrees and the fourth of 150 degrees. There is no name for such quadrilaterals and the only thing that can be said about them is that they are irregular.
