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The word "rhombus" comes from Ancient Greek: , romanized: rhombos, meaning something that spins,[3] which derives from the verb , romanized: rhmb, meaning "to turn round and round."[4] The word was used both by Euclid and Archimedes, who used the term "solid rhombus" for a bicone, two right circular cones sharing a common base.[5]

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. It follows that any rhombus has the following properties:

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The first property implies that every rhombus is a parallelogram. A rhombus therefore has all of the properties of a parallelogram: for example, opposite sides are parallel; adjacent angles are supplementary; the two diagonals bisect one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the parallelogram law). Thus denoting the common side as a and the diagonals as p and q, in every rhombus

Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals (the second property) is a rhombus. In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

In the above figure, we can notice that every rhombus we see will also be a parallelogram, but not every parallelogram is a rhombus. A square can be considered as a special case of a rhombus because it has four equal sides. All the angles of a square are right angles, but the angles of a rhombus need not necessarily have to be right angles. And, hence a rhombus with right angles can be considered a square. Hence, we can conclude that:

A rhombus is considered to be one of the special parallelograms as it has all the properties of a parallelogram. A rhombus has its two diagonals as its two lines of symmetry. Axis of symmetry can be considered as a line that divides an object into two equal halves. It creates a mirror-like reflection of both sides of the object. A rhombus is said to have reflection symmetry over both of its diagonals. The general properties of a parallelogram are as follows:

One thing we should remember about the diagonal of a rhombus is that in addition to bisecting each other at 90, the two diagonals bisected will be of the same length. For example: if the length of a diagonal is 10 cm and the other diagonal bisects it, then it is divided into two 5 cm segments. If you know the side of the rhombus and the value of certain angles, then you can determine the length of the diagonal.

A rhombus is a diamond-shaped quadrilateral that has all four sides equal. We can see rhombus-shaped figures in our day-to-day lives. Some of the real-life examples of a rhombus are shown in the below-given figure: a diamond, a kite, an earring, etc.

The area of a rhombus can be defined as the amount of space enclosed or encompassed by a rhombus in a two-dimensional plane. It is half of the product of the lengths of the diagonals. So, A = 1/2 d1 d2, where d1 and d2 are the lengths of the diagonals.

Just like a square, all four sides of a rhombus are equal, so, the formula for the perimeter of the rhombus is the product of the length of one side by 4. We get P = (4 a) units, where a is the side of a rhombus.

Example 1: David has drawn a rhombus where the lengths of the two diagonals d1 and d2 are 5 units and 10 units, respectively. He asks his sister Linda to help him find the area. Can you help Linda find the answer?

Example 3: Sam and Victor were playing a game of hopscotch and they spotted a rhombus-shaped tile at the playground. The length of each side of the tile was 15 units. Can you help Sam and Victor find the perimeter of the tile?

A rhombus is a 2-D shape with four sides hence termed as a quadrilateral. It has two diagonals that bisect each other at right angles. It also has opposite sides parallel and the sum of all the four interior angles is 360 degrees.

Yes, all squares are rhombuses. A square can be considered as a special case of a rhombus because it has four equal-length sides. All the angles of a square are right angles, but the angles of a rhombus need not necessarily have to be right angles. Hence a rhombus with right angles can be considered a square.

A rhombus is a diamond-shaped quadrilateral. If you look at a pack of cards and pull out the 13 diamond cards, you will find that the diamond geometric shape is that of a rhombus. It has all four sides equal and opposite sides parallel to each other. It looks like a tilted square.

No, a rhombus is not a regular polygon. A regular polygon must be equiangular (all of its angles are the same measure) and congruent or, equilateral (all of its sides are the same length). But a rhombus is only equilateral: all of its sides are of the same length and only the opposite angles are equal. A rhombus can never be considered a regular polygon as it is only an equilateral polygon and not an equiangular polygon.

The area of a rhombus is calculated by dividing the product of the diagonals by 2. Mathematically, this can be defined as: \(A = \frac{{d_1 d_2 }}{2}\), where d1 and d2 are the diagonals of a rhombus.

A rhombus is a quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The word rhomb is sometimes used instead of rhombus, and a rhombus is sometimes also called a diamond. A rhombus with is sometimes called a lozenge.

The classic way is to create the first side and then draw circles at the endpoints that correspond to the second and fourth sides. The third side will always connect two points on the circles. Unfortunately, in SketchUp, circles are created as a chain of straight lines so your intersections will be close, but not necessarily accurate. The more points you use for the circles, the more accurate the result. To complete the rhombus, draw a line from one endpoint to a place on one circle, create another circle of radius 110.08 at that endpoint, and where the new circle intersects the other circle is where the third side connects.

3. What I want to do next is transform the height only or, width only which would turn the square/diamond into a rhombus. This was easy in Illustrator. Just change the X or Y dimension. But in Affinity, changing those dimensions results in a rotated rectangle. The line segments of this shape are locked to 90*.

Of course I had to pop into the same classroom today and try it out! The lower right was so obviously a diamond to me that I was curious to see if students saw the same thing and if it changed their reasoning about the rhombus as a diamond.

I tend to avoid quadrilateral classification because it gets a little namey and boggling (rhombus is special case of kite, rhombus is special case of parallelogram, square is special case of rhombus that is also a rectangle), but this conversation takes it away from that kind of thing.

Having a very dumb moment and cannot figure out how to draw a rhombus using the Rectangle tool, when i rotate the shape and then go to make it 'thinner' as a rhombus, it continues to act as a square (because it is one). I'm 80% sure i'm just forgetting to hold a key down to stop it acting like it is, any help would be appreciated.

Such was the case with Jean Sutton and the rhombus of Michaelis, an area of the lower back which plays a key role in physiological birth. Much of this article is based on a discussion / interview with Jean which took place during August 2002; her words are in italics. It is still just as relevant today.

I think you misunderstood me. it sounds like you're trying to answer "what is the benefit of rhombus" or "what is the point of rhombus". I am not asking those. I am asking how racket itself has been improved due to work on rhombus. what changes has rhombus caused in racket that improved racket?

that was my understanding of what was said at least. I want to explore that response more and learn about it, so I am asking about examples of those improvements. the link I gave in my original post is an example. it's a way in which doctor racket was improved due to work on rhombus.

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