What are the 4 properties of a parallelogram?

What are the 4 properties of a parallelogram?

The four important properties of a parallelogram are as follows. The opposite sides are equal. The opposite angles are equal. The adjacent angles are supplementary. Can a Rectangle be called a Parallelogram? The opposite sides of a rectangle are equal and parallel.

How to prove the opposite sides of a parallelogram are equal?

Theorem 1: In a Parallelogram the Opposite Sides Are Equal. This means, in a parallelogram, the opposite sides are equal. Given: ABCD is a parallelogram. To Prove: The opposite sides are equal, AB=CD, and BC=AD. Proof: In parallelogram ABCB, compare triangles ABC and CDA.

Can the properties of parallelograms be applied to rhombi?

The properties of parallelograms can be applied on rhombi. If we have a quadrilateral where one pair and only one pair of sides are parallel then we have what is called a trapezoid.

What is an example of a parallelogram in furniture?

The square and a rectangle are the two simple examples of a parallelogram. Hence the flat surfaces of the furniture such as a table, a cot, a plain sheet of A4 paper can all be counted as examples of a parallelogram.

The four most important properties of a parallelogram are: The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°).

What are the congruent sides of a parallelogram?

In a parallelogram; The opposite sides are congruent. The opposite angles are congruent. The consecutive angles are supplementary. If any one of the angles is a right angle, then all the other angles will be right. The two diagonals bisect each other. Each diagonal bisects the parallelogram into two congruent triangles.

What are the consecutive angles of a parallelogram?

The consecutive angles of a parallelogram should be supplementary (180°). The 7 important theorems on properties of a parallelogram are given below: A diagonal of a parallelogram divides the parallelogram into two congruent triangles.