In the subject of geometry, the forms may be separated into two distinct groups, which are as follows:
- Two Dimensional Shapes
- Three-dimensional Shapes
3D Shapes
Solids are another name for three-dimensional forms since they have three dimensions: length, breadth, and width. Three-dimensional shapes are also called three-dimensional shapes. It is even possible to create three-dimensional objects by rotating flat shapes.
Each of the faces of the solid has to have a two-dimensional shape. The sphere, the cuboid, the cone, the cylinder, and so on are three-dimensional forms.
Parallelogram
A quadrilateral is considered a parallelogram if its opposing sides are parallel and equal to one another and if the opposite angles have the same degree of measurement. Parallelograms can be equilateral (meaning that all sides are of equal length) or equiangular (meaning that all grades have the same degree of size).
Let’s better understand the rhombus, square, and rectangle parallelograms, as well as the unique characteristics of each of these shapes.
A parallelogram is a kind of two-dimensional quadrilateral characterized by having two sets of sides parallel to one another. A parallelogram has angles and sides that are congruent with each other, and the total hooks on the parallelogram’s interior equal 360 degrees.
Special Parallelogram
A rhombus, a quadrilateral, and a square are all examples of peculiar parallelograms because, in addition to displaying the characteristics typical of a parallelogram, they also exhibit distinctive traits. Let’s take a look at the one-of-a-kind features that exceptional parallelograms have.
A rhombus, often known as a diamond, is a unique kind of parallelogram with four sides identical to each other. A specific kind of parallelogram known as a rectangle is one in which each of the four angles measures precisely 90 degrees. A square is a unique kind of parallelogram that has equal sides and angles around it.
Rhombus
A Quadrilateral in which all the sides have the same length is referred to as a rhombus.
- A rhombus has opposing sides that are parallel to one another and are of equal length. As a result, you have a parallelogram here.
- On the other hand, A rhombus has four sides, each the same length.
- The contradictory angles of the rhombus are equal.
- A rhombus has sides that meet at 90-degree angles, creating intersections at each corner.
- The intersection of two diagonals makes a cross.
- Diagonals slice across opposing vertex angles of the triangle.
- Each of the diagonals slices the rhombus into two triangles that are identical to one another.
Rectangle
A parallelogram in which all four of the parallelogram’s angles have the same measure is called a rectangle.
- Both of the opposing sides are of similar measurement.
- The differing sides are parallel to each other.
- Every one of the inside angles of the rectangle is a perfect 90 degrees.
- The length of each diagonal is appropriately the same.
- The intersection of two diagonals creates a perfect cross.
- Each diagonal slices the rectangle into two perfect triangles that are identical.
- A horizontal and a vertical line of the rectangle symmetry are present in its structure.
- A rhombus is created when the four centers of the four edges of a rectangle are put together in sequence.
Square
A rectangle with all four equal sides is called a square.
- The measurements of the four sides of the square are entirely identical.
- The opposite sides are parallel.
- Every one of the inside angles is a perfect 90 degrees.
- The length of each diagonal is the same.
- Each diagonal cuts the other diagonal across at right angles.
- Diagonals cut across opposing vertex angles of a triangle.
- It is a very symmetrical shape with four lines of symmetry: two diagonals, one horizontal, and one vertical.
- Every one of the diagonals cuts the perfect square into two similar triangles that are identical. For instance, each of the two sets of triangles that are congruent to one another is likewise congruent.
Relationship between Quadrilaterals and Parallelograms
A parallelogram’s features are shared by quadrilaterals, such as squares, rectangles, and rhombuses (the plural form of rhombus). Take a look at the accompanying diagram to get a better understanding of the linking between the different types of quadrilaterals and parallelograms.
If you look at the chart above, you’ll see that you may deduce the following:
- Every rectangle may be represented as a square.
- Every rectangle may be written as a rhombus.
- A parallelogram may be formed from any rhombus, court, or rectangle.
- All parallelograms are quadrilaterals.
- Now that we have everything out of the way, let’s discuss some unique parallelograms.
While you are learning about parallelograms, it is essential to keep in mind the following points, which are listed below:
- A quadrilateral is a 3D shape with four sides and two dimensions whose internal angles add up to 360 degrees.
- It is possible to explain a parallelogram as a four-sided one with four sides in which two are parallel.
- A square is a unique kind of parallelogram with four equal sides, four equal positions, and diagonals that run perpendicularly.
- A specific kind of parallelogram known as a rectangle has identical opposing sides and angles that all add up to 90 degrees.
- A rhombus, commonly known as a diamond, is a unique kind of parallelogram that has four sides that are similar to each other and diagonals that are perpendicular to each other.
Conclusion
A parallelogram is a four-sided with parallel and equal sides and right angles of equal measure at each pair of adjacent sides. Both equilateral and equiangular parallelograms are possible, as are parallelograms with unequal sides and angles. Discover more about the unique characteristics of the rhombus, square, and rectangle parallelograms.