This means that they cut each other in half. A rhombus has a pair of diagonals perpendicular to each other, and diagonals that bisect their angles. Additionally, a rhombus does not have sides that are perpendicular to each other, unlike to a square. To prove a parallelogram is a square, we need to show either one of the following: It is a rhombus (all four sides of equal length) with interior angles equal to \(90°\). Diagonals bisect both pairs of interior opposite angles (i.e. The area of a rhombus can be calculated just like other parallelograms, multiply the base by the height. given ∠ABC = 72° => ∠ADC = 72° All sides of rhombus are equal. a rhombus). Is this also true for angles? The intersection of the diagonals of a rhombus form 90 degree (right) angles. No matter how you arrange those four linear objects on your flat surface, you will always have two pairs of equal opposite angles. The diagonals of the rhombus bisect the vertex angles. This means that they are perpendicular. Rhombus Angles. The diagonals of a rhombus bisect each other. Diagonals are equal in length. You can also construct two diagonals inside the rhombus by connecting opposite vertices (corners). The main difference between the two is that, while a rhombus has two opposite internal angles of equal measure, a square has four right angles with equal measure. Opposite angles in the rhombus are equal. In a rhombus, pairs of opposite angle are equal and pairs of adjacent angles are supplementary. , where is equal to one-half the length of the unknown diagonal. all are \(45°\)). hence ΔADC is isosceles triangle. All interior angles equal \(90°\).

This means that their measures add up to 180 degrees. opposite angles of rhombus are equal => ∠ADC = ∠ABC. In addition to those four sides, the rhombus has four interior angles. Properties of the angles of a rhombus: Adjacent sides (ones next to each other) of a rhombus are supplementary. The diagonals of the rhombus bisect each other and are perpendicular to each other. We can now use both diagonals to solve for the area of the rhombus: The area of rhombus is therefore equal to We can therefore solve for as follows: is therefore equal to 8, and our other diagonal is 16. In a polygon, if all the sides are equal, it doesn’t necessarily mean that the polygon is regular (eg.


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