Let's look at their sides and angles. To be a parallelogram, the base and top sides must be parallel and congruent, and so must the left and right sides.
The base and top side make a congruent pair. The left and right side make a congruent pair. The two pairs of congruent sides may be , but do not have to be , congruent to each other. Using the properties of diagonals, sides, and angles, you can always identify parallelograms.
You need not go through all four identifying properties. You can use proof theorems about a plane, closed quadrilateral to discover if it is a parallelogram:.
You have learned that a parallelogram is a closed, plane figure with four sides. It is a quadrilateral with two pairs of parallel, congruent sides. Opposite non-adjacent angles are congruent. The two diagonals of a parallelogram bisect each other. Studying the video and these instructions, you will learn what a parallelogram is, how it fits into the family of polygons, how to identify its angles and sides, how to prove you have a parallelogram, and what are its identifying properties.
How To Find the Area of a Parallelogram. Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the math tutors near you? This means every parallelogram is: A plane figure it has two dimensions A closed shape it has an interior and exterior A quadrilateral four-sided plane figure with straight sides.
If both pairs are congruent, you have either a rhombus or a square. What you learned: Studying the video and these instructions, you will learn what a parallelogram is, how it fits into the family of polygons, how to identify its angles and sides, how to prove you have a parallelogram, and what are its identifying properties.
Instructor: Malcolm M. In addition, we may determine that both pairs of opposite sides are parallel, and once again, we have shown the quadrilateral to be a parallelogram. Another approach might involve showing that the opposite angles of a quadrilateral are congruent or that the consecutive angles of a quadrilateral are supplementary. Both of these facts allow us to prove that the figure is indeed a parallelogram.
Consecutive Angles in a Parallelogram are Supplementary. The sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals. This relation is known as the parallelogram law.
Tiles come in a variety of shapes and sizes. The most popular shapes used by the industries to manufacture wall and floor tiles are rectangle, square, rhombus, and parallelogram. Hence, tiles constitute a perfect example of parallelogram-shaped objects used in everyday life. In the modern world, a number of geometric figures are being used by architects to construct unique design buildings.
One of the most popular geometric shapes used by builders in the fabrication of buildings is a parallelogram. For instance, the dockland office building located in Hamburg, Germany is parallelogram-shaped. 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.
Hence, the roofs are a prominent example of parallelogram-shaped objects present around us. Craft papers that are used to make artefacts are available in a variety of shapes and sizes. One of the most common shapes in which the craft papers are available is a parallelogram.
Hence, it is yet another example of parallelogram-shaped objects present around us. Desks or tables are usually rectangular or square in shape.
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