What is the difference between squares and rectangles with perpendicular sides? A perpendicular side is the line that is perpendicular to a diagonal. You can see perpendicular lines in real life every day, such as the corner of two walls. A perpendicular line also makes a good Red Cross symbol. The word ‘perpendicular’ comes from late Middle English. It originally meant right angles, and is derived from Latin words such as ‘perpendere’, meaning through or hang. Although the term perpendicular has many uses in mathematics, the word itself is not always a correct synonym.

The Definition of Perpendicularity

If a line is parallel to another line and intersects it at a right angle, it is said to be perpendicular. A line’s perpendicularity is also symmetrical. Perpendicular lines have corresponding angles. A perpendicular line will also intersect two lines that are also perpendicular. Here are examples of perpendicular lines. A corner between two parallel lines is a perfect example of a perpendicular line.

A triangle is a shape that has perpendicular sides, as do a right triangle. A rectangle may also have perpendicular sides, but any quadrilateral may have parallel sides or none at all. A perpendicular line will have a symbol, which is also used to denote right angles. The definition of perpendicularity is useful in math. A triangle is a perfect geometric object if all sides are perpendicular to each other.

A rectangle has four perpendicular sides, and a triangle next to it has only one. In some cases, a rhombus may have only one pair of perpendicular sides. Then, there are a series of squares and parallelograms with different curvatures. It is also possible to create a pentagon, a hexagon, or an octagon by cutting a corner at the same angle.


A trapezoid is a quadrilateral with two pairs of parallel sides. Its nonparallel sides, or legs, are known as angles. The angles that share a base are known as base angles. A right trapezoid is one that has two adjacent right angles on its base. The opposite form, a scalene trapezoid, has no sides of equal measure.


The two sets of sides of a square are parallel. When the two sets intersect, four right angles are formed. Each of these diagonals is split into two segments that are half as long as the other side. These sides make up a square. Several polygons have these properties, including right trapezoids, squares, and parallelograms. The following is a list of the different types of squares.


The four right angles of a square and a rectangle are known as right angles. They are parallel to one another and have the same length as the other side. A square and a rectangle both have one set of perpendicular sides. These sides can be determined by comparing the slopes of two lines. In other words, they are perpendicular if they are parallel. Rectangles are the only two shapes that have four right angles, unlike the triangle, which has only one.

Right triangles

Identify the base, hypotenuse, and hypotenuse of a right triangle. Then, identify the other sides of the triangle and substitute the values in the equation to find the hypotenuse. The hypotenuse is the longest side of a right triangle. The base and hypotenuse of a right triangle each measure 8 inches. Use the Pythagorean theorem to solve the triangle. Then, find the unknown part of the triangle by comparing them to the known ones.


Hyperbolas with perpendicular edges have two different characteristics. They are opened up in a direction different from the other and close down in the opposite direction. Thus, a vertical hyperbola will never have y=0. Although the original equation could contain x=0, it would cancel out y=0. Consequently, a horizontal hyperbola will never have a positive y value.


The simplest way to draw ellipses with perpendicular sides is to model them by using a closed string, like a ruler. You can also use a strip of paper with length a+b, where a is the center and b is the outside diameter of the ellipse. Once you’ve understood the concept of tangents, you can start modelling ellipses.


There are two types of rhombus with perpendicular sides. Oriented differently, these rhombuses have diagonals that bisect each other. A special kind of rhombus is a square. A square is a parallelogram in which all the angles and sides are equal. When all four sides of a rhombus intersect, it forms a square. A parallelogram can also be rearranged into a rectangle. A rhombus with perpendicular sides can be constructed from a triangle or a trapezoid, as both can be rearranged into a rectangle.