The definition of a trapezoid is quite simple. It is a shape made by squaring the top side of a triangle, with two equal sides. This shape can be very prominent when the trapezoid’s right and left sides are identical. In this shape, the smaller triangle’s hypotenuse will always be perpendicular to its axis of symmetry.
A trapezoid is formed by the trapezoid equation, which states that the area contained by the equator when multiplied by the central angle of rotation will equal the sum of the components of the right and left sides of the triangle. Note that the area in the figure above is also the area contained by the two parallel planes through the lower right and left angles of rotation. In the definition of a trapezoid, one can see that it contains many sides. Therefore, each side of the equator can be considered as a “side”.
In addition to having many sides, a trapezoid can have many base angles. The trapezoid “base” is identical to the x-axis of a quadratic equation, since the only difference is the orientation of the axes. Therefore, if one adds an extra angle to the sides of the trapezoid, it will become a parabolic mirror image of itself, which will have the same magnitude as the x coordinate.
If we draw a trapezoid, and then bisect the two sides at their corresponding angles, we get a picture of a trapezoid, with each parallel plane parallel to the other. Each of the parallel planes has an equal degree of rotation about its axis of symmetry. Now, since each of the sides is parallel to at least one of the planes, the resulting shape has four sides. The sum of the squares of each of the planes is therefore twenty, and so the trapezoid is also equated to a cube with twenty sides. The equation is valid only if one has four vertices, with their corresponding axis of symmetry. Thus, any trapezoid, when multiplied by twenty, will always result in a regular repeating geometric pattern.
There are three different ways in which the trapezoid can be drawn. In the first method, one set of parallel sides is drawn, starting from the center and moving outwards. In this set of parallel sides, the upper most set will always face away from us, the middle set will form an imaginary trapezoid with all the lower sides horizontal, and the lower set will form an imaginary trapezoid with the upper sides vertical. It follows that the third, innermost set of parallel sides will form the actual trapezoid, with the upper sides vertical and the lower sides horizontal.
In the second method, trapezoids are drawn as a four sided array. In this case the upper and lower trapezoid units are parallel to each other, but the horizontal axis of symmetry is different. This will make the inner unit of the trapezoid set different from the rest. When we come to draw a trapezoid, all the parallel sides must be equated, but if they are not the trapezoids cannot be made equal.
In general, the trapezoid could be made equal if we remove the third, innermost unit. This leaves us with a basic rectangular shape, now we can define each of its four sides separately, starting from the center and going outwards. We will now group all the trapezoids of the upper and lower part into two sets: the central rectangle and the two set of trapezoids that constitute the exterior of the central rectangle. We need to notice the straight lines that join the two sets of trapezoids. These lines define the tops of the central rectangle and the two sets of trapezoids that constitute the exterior of the central trapezoid.
The trapezoid can also be made equal if we remove the third, inner most unit from the trapezoid. We get a perfect trapezoid, but since it is a perfect trapezoid, it is exactly the same shape as the square. The only difference is that instead of being four sided, it has two sided units. The square is still a perfect shape, but it does not have any parallel sides.
