A rhombus is a special kind of parallelogram, in which all the sides are equal. We've seen that one of the properties of a rhombus is that its diagonals are perpendicular to each other. Here we will … [Read more...] about A Parallelogram with Perpendicular Diagonals is a Rhombus
A parallelogram in which all the edges are of equal length is called a rhombus, or a diamond.
In addition to the general properties of parallelograms, in a rhombus, the diagonals bisect the angles, and the diagonals are perpendicular to each other.
We will show these properties using triangle congruence.
Now that we've explained the basic concept of rhombus in geometry, let's scroll down to work on specific geometry problems relating to this topic.
We have shown that in any parallelogram, the opposite angles are congruent. Since a rhombus is a special kind of parallelogram, it follows that one of its properties is that both pairs of opposite … [Read more...] about Properties of Rhombus: The Opposite Angles are Congruent
We have shown that in a rhombus the diagonals bisect the angles, using triangle congruency. We can follow the same procedure to prove that the diagonals of a rhombus are perpendicular to each … [Read more...] about Diagonals of a Rhombus are Perpendicular to Each Other
A Rhombus has two axes of symmetry, created by the diagonals. Since it is symmetrical, the diagonals bisect the angles, as we will show using triangle congruence. Problem In a rhombus ABCD, … [Read more...] about Rhombus Diagonals Bisect the Angles