What are the properties of parallelograms?

Convex polygonParallelogram / Properties

What are the 6 properties of parallelogram?

There are six important properties of parallelograms to know:

Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.

What are the diagonals of a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.

What is sometimes true about a parallelogram?

A parallelogram is a rectangle. This is sometimes true. It is true when the parallelogram has 4 right angles. It is not true when a parallelogram has no right angles.

Do all parallelograms have 4 equal sides?

A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

What is parameter of a parallelogram?

Perimeter of a Parallelogram Formula The perimeter is the sum of the length of all the 4 sides. The perimeter of a parallelogram is the total distance outside the geometrical shape. The opposite sides of a parallelogram are equal and so the perimeter becomes twice the sum of two parallel sides say a and b.

Why are parallelograms important?

Answer: A parallelogram has four straight sides. Each of the two pair of opposing sides is of equal length and is parallel. The unique properties of the parallelogram have been applied extensively in industry to accurately transfer mechanical motion from one place to another.

What are three attributes of a parallelogram?

The opposite sides are parallel.

The opposite sides are congruent.

The opposite angles are congruent.

Consecutive angles are supplementary (add up to 180-degrees).

The diagonals bisect each other.

What are the characteristics of a parallelogram?

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A+D = 180°).

If one angle is right,then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

What are some important facts about a parallelogram?

Facts About Parallelograms. A parallelogram is a two-dimensional quadrilateral– a shape that has four sides that intersect at four points, also known as vertices.The two opposite sides of a parallelogram are always parallel and congruent — or equal in length.

What are the rules of a parallelogram?

parallelogram rule. n. 1. (General Physics) maths physics a rule for finding the resultant of two vectors by constructing a parallelogram with two adjacent sides representing the magnitudes and directions of the vectors, the diagonal through the point of intersection of the vectors representing their resultant. 2.

It is a quadrilateral where both pairs of opposite sides are parallel. There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B).

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.

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

(i.e) ∆ABC ≅ ∆CDA. Thus, the diagonal AC divides a parallelogram ABCD into two congruent triangles ABC and CDA. Hence, proved. The opposite sides of a parallelogram are equal. From theorem 1, it is proved that the diagonals of a parallelogram divide it into two congruent triangles.

Are opposite Angels of a parallelogram congruent?

Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.