A rectangle is a four-sided polygon with two parallel and equal sides.There is linear symmetry and rotational symmetry in a rectangle. majordiagonaly (x - startx) ( (float) rectangleydim) / rectanglexdim (assuming x is the vertical dimension and y is the horizontal one you used other symbols but I found them a bit confusing.Lines of symmetry in a rectangle are two.(Note: A square has rotational symmetry of four according to its four equal sides in the figure.) Unlike, a square that has more than two rotational symmetries. This means there are 2 times during rotation of 360° in the rectangle i.e., at 180° and 360°. Hence, lines by diagonals can not be the lines of symmetry in a rectangle.Ĭheck Important Notes for Analytical GeometryĪ rectangle has two rotational symmetries, one at 180° and another at 360°. Then, one half will not superimpose the other. Like this:īut, No! Because, if you cut a rectangle into two halves by its diagonal. Now, one may ask if lines by the diagonals can also be the lines of symmetry in a rectangle. Hence, a rectangle has two lines of symmetry. This image shows both the lines of symmetry in a rectangle. Hence, if you keep one half over the other, it will cover the part as an equal one with zero dissimilarities. Both these lines cut the rectangle into two mirror halves. For example, a rectangle has two lines of symmetry because it can be folded in half both horizontally and vertically to create mirror images. One from its length and another from its breadth. Therefore, there are two lines of symmetry in a rectangle. How Many Lines of Symmetry Does a Rectangle Have?Ī rectangle, unlike a square, is not equal from all sides. The diagonals of the rectangle are also equal with 90° angles always. That is what makes a rectangle different from a square. Lines of Symmetry in a Rhombus In a rhombus, the lines of symmetry are its diagonals. In a rectangle, the lines of symmetry are those lines which join the midpoint of the opposite and parallel lines (i.e. The two opposite sides of a rectangle are equal and parallel to each other. Introduction, continued Squares Because squares have four equal sides and four equal angles, squares have four lines of symmetry. There are two lines of symmetry in a rectangle which cuts it into two equal halves. On the other hand, a rectangle is a polygon with four sides. Reflectional symmetry, rotational symmetry, linear symmetry are the main types of symmetry. The number of lines of symmetry in a rectangle and a square are - (equal/ unequal) Medium Solution Verified by Toppr The number of line symmetry in a rectangle and square are unequal.The number of line symmetry in rectangle are 2 and in square it is 4. Now, some figures/shapes can have one while other shapes have more than one line of symmetry. This dividing line of the figure is known as the line of symmetry. A composition of symmetries.Ī rectangle has two lines of symmetry, each of which is a perpendicular bisector to two opposite sides of the rectangle.What is the Line of Symmetry in a Rectangle?Ī figure, in geometry, is considered as one symmetrical figure If it can be divided into two identical equal parts with the help of a line. This would be one symmetry followed by another.

Using this idea we can define the product of these functions or transformations. Now think of symmetries as a function mapping the points of the rectangle back on themselves. Using this we can see two rotational symmetries and two reflective or line symmetries of the rectangle. First you would need to identify the corners of the rectangle by using numbers or letters such as ABCD. Here is some interesting info about how that would would work with a rectangle. In fact, in more advanced algebra we look at groups that deal with this. Many books define both reflective and rotational symmetries.

We would find 2 lines of symmetry using this definition. If we use this definition, then a diagonal is not a line of symmetry of a rectangle. This tests says that when the folded part sits perfectly on top so that all the edges are matching, then the fold line is a line of symmetry. Many textbooks use what is called the folding test to find lines of symmetry of plane shapes. For example, if we fold a figure cut out exactly at the centre vertically, its halves will be harmonious. The line divides the shape into identical halves. The second runs from the center of one of the longer sides to the center of the other longer side. The line of symmetry is defined by an imaginary line that passes through the centre of an object or shape. A rectangle has 2 lines of symmetry: one runs from the center of one of the shorter sides to the center of the other short side.