In a parallelogram opposite angles are equal

Measurement and Geometry : Module 20 Years : PDF Version of module.

The opposite angles of a parallelogram are equal and the consecutive angles of a parallelogram are supplementary. Let us read more about the properties of the angles of a parallelogram in detail. A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals. Observe the following parallelogram to relate to its properties given below:. The theorems related to the angles of a parallelogram are helpful to solve the problems related to a parallelogram.

In a parallelogram opposite angles are equal

A quadrilateral whose two pairs of sides are parallel to each and the four angles at the vertices are not equal to the right angle, and then the quadrilateral is called a parallelogram. Also, the opposite sides are equal in length. Learn more about the parallelogram here. Also, we have different theorems based on the angles of a parallelogram. They are explained below along with proofs. We know that alternate interior angles are equal. By ASA congruence criterion, two triangles are congruent to each other. Hence, it is proved that the opposite angles of a parallelogram are equal. Theorem: Prove that any consecutive angles of a parallelogram are supplementary. Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary. From the above theorem, it can be decided that if one angle of a parallelogram is a right angle that is equal to 90 degrees , then all four angles are right angles. Hence, it will become a rectangle. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find their measures.

The properties of a parallelogram help us to identify a parallelogram from a given set of figures easily and quickly. Our Mission. There are two important properties of the diagonals of a parallelogram.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Theorems concerning quadrilateral properties. About About this video Transcript. Sal proves that opposite angles of a parallelogram are congruent. Created by Sal Khan.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal. When we look around us, we can see multiple parallelogram-like shapes and objects in the form of buildings, tiles, or paper. Buildings : Many buildings are constructed, keeping in mind the shape of parallelograms. Tiles : Tiles come in various shapes and sizes. One of the most found tile shapes is a parallelogram. Eraser : Everyone is familiar with the classic eraser. Erasers, too, come in several shapes and sizes, one of them being that of a parallelogram. The faces of this eraser are in the shape of a parallelogram. The perimeter of a parallelogram equals the sum of the lengths of the four sides. Since the opposite sides of a parallelogram are equal, its perimeter can also be expressed as 2 x the sum of adjacent sides, i.

In a parallelogram opposite angles are equal

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel and equal. While learning about the angles of a parallelogram one must remember the different properties of a parallelogram associated with its sides, angles and diagonals. The opposite sides of a parallelogram are parallel and equal. The diagonals of a parallelogram are bisectors of each other. There are four angles in a parallelogram. The sum of the four angles of a parallelogram is degrees.

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All the above properties hold true for all types of parallelograms, but now let us also learn about the individual properties of some special parallelograms. That means that the two figures are congruent. Created by Sal Khan. Want to join the conversation? Rectangles are so ubiquitous that they go unnoticed in most applications. FAQs on Properties of Parallelogram. Maths Formulas. It is more of a rectangle, but the angles at the vertices need not be right angles. The opposite angles of a parallelogram are equal. Learn more about the parallelogram here.

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.

If one pair of opposite sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. Draw a 6 cm interval on each side of the ruler. I could call this point E, if I want. Posted 10 years ago. Let us read more about the properties of the angles of a parallelogram in detail. These two lines are parallel. There are some special properties of a parallelogram that make it different from the other quadrilaterals. In a parallelogram opposite sides are equal. The opposite angles of a parallelogram are always equal, whereas, the adjacent angles of a parallelogram are always supplementary. Hence proved, that opposite angles in any parallelogram are equal. Learn Properties Of Parallelograms with tutors mapped to your child's learning needs.