![]() Hence, a rectangular is also a parallelogram. A rectangular table consists of two pair of parallel sides that are equal in length. Hence, it is yet another example of parallelogram-shaped objects present around us.ĭesks or tables are usually rectangular or square in shape. One of the most common shapes in which the craft papers are available is a parallelogram. Hence, the roofs are a prominent example of parallelogram-shaped objects present around us.Ĭraft papers that are used to make artefacts are available in a variety of shapes and sizes. If you observe the side look of a gable roof, saltbox roof, or shed roof of a house, you can easily visualize a two-dimensional geometric plane quadrilateral that consists of two pairs of parallel and equal sides. For instance, the dockland office building located in Hamburg, Germany is parallelogram-shaped. One of the most popular geometric shapes used by builders in the fabrication of buildings is a parallelogram. In the modern world, a number of geometric figures are being used by architects to construct unique design buildings. Hence, tiles constitute a perfect example of parallelogram-shaped objects used in everyday life. The most popular shapes used by the industries to manufacture wall and floor tiles are rectangle, square, rhombus, and parallelogram. Tiles come in a variety of shapes and sizes. This relation is known as the parallelogram law. The sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals. The two triangles formed by joining the opposite corners of a parallelogram are congruent to each other.ħ. The diagonals of a parallelogram bisect each other.Ħ. In such a case, the resultant geometric figure is known as a rectangle.ĥ. If any one of the angles of a parallelogram is a right angle, then the rest of the angles will be 90° each. Hence, the consecutive angles of a parallelogram are supplementary.Ĥ. The sum of the adjacent angles of a parallelogram is equal to 180°. The opposite angles of a parallelogram are congruent.ģ. The opposite sides of a parallelogram are parallel and equal in length.Ģ. Structure on the Fret Board of a Guitarġ. Have the base and the height, it's just going to be theīase times the height. The area of a parallelogram is just going to be, if you So the area of a parallelogram, let me make this looking more I just took this chunk ofĪrea that was over there, and I moved it to the right. So the area here is also the area here, is also base times height. The area of this parallelogram, or well it used to be this parallelogram, before I moved that triangleįrom the left to the right, is also going to be theīase times the height. That just by taking some of the area, by taking some of the area from the left and moving it to the right, I have reconstructed this rectangle so they actually have the same area. What just happened when I did that? Well notice it now looks just And what just happened? What just happened? Let me see if I can move This area right over here and I'm going to move it Of the parallelogram and I'm going to take Remember we're just thinking about how much space is inside So it's still the same parallelogram, but I'm just going to Little chunk right there, Actually let me do it a little bit better. So I'm going to take this, I'm going to take this Helps make up the parallelogram, and then move it to the right, and then we will see Going to take a chunk of area from the left-hand side,Īctually this triangle on the left-hand side that Well this isn't as obvious as if we're dealing with a rectangle. When you have a parallelogram, you know its base and its height, what do we think its area is going to be? So at first it might seem Perpendicularly straight down, you get to this side, that's going to be, that's going to be our height. Go from this side up here, and you were to go straight down. Length of these sides that at least the way I've drawn So when we talk about the height, we're not talking about the Its area is just going to be the base, is going to be the base times the height. With base length b and height length h, we know ![]()
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