Difference Between Rhombus And Parallelogram, Important Properties

Difference Between Rhombus And Parallelogram : Parallelograms and rhombuses are four-sided polygons with four sides and four angles, also known as quadrilaterals. A parallelogram is a four-sided convex polygon with opposing sides that are parallel and equal, as well as opposing angles that are equal. A rhombus is a special type of parallelogram in which all of the sides are equal in length and opposite sides are parallel.

What Are Quadrilaterals?

What is Rhombus?

Important Properties of Rhombus

1. A rhombus has four sides that are all the same length. A rhombus is distinguished from a general parallelogram by this feature.
2. Opposite angles are equal: The opposite angles of a rhombus are measured in the same way. In other words, if the vertices are labeled A, B, C, and D, then angle A equals angle C and angle B equals angle D.
3. Consecutive angles are optional: In a rhombus, the sum of two consecutive angles is always 180 degrees. The fact that opposite angles are equal gives rise to this property.
4. Diagonals intersect at a point and bisect each other at right angles (90 degrees): The diagonals of a rhombus intersect at a point and bisect each other at right angles (90 degrees). The diagonals thus divide the rhombus into four congruent right-angled triangles.
5. Diagonals are not always equal: While diagonals intersect at right angles, they may not be of equal length unless the rhombus is also a square.
6. Diagonals are perpendicular bisectors of each other: The diagonals of a rhombus not only bisect each other at right angles but also act as perpendicular bisectors, dividing each diagonal into two equal parts.
7. The opposite sides are parallel: Like all parallelograms, the opposite sides of a rhombus are parallel.

What Are Parallelogram?

Important Properties of Parallelogram

1. Parallel sides: Each pair of opposite sides in a parallelogram is parallel. This means that if you extend the sides indefinitely, they will never intersect.
2. The lengths of opposite sides are equal: The lengths of the two pairs of opposite sides are equal.
3. Opposite angles are equal: The angles formed by the intersection of the sides (vertex angles) are equal in measure.
4. Consecutive angles are optional: In a parallelogram, the sum of two consecutive angles is always 180 degrees.
5. Diagonals bisect each other: A parallelogram's diagonals intersect at a point and bisect each other. This means that the parallelogram is divided into two congruent triangles by each diagonal.
6. Complementary angles include: The sum of two opposing angles in a parallelogram is always 180 degrees.
7. Consecutive sides are supplementary: the sum of two consecutive angles equals 180 degrees.
8. Each diagonal divides the parallelogram into two triangles that are congruent. The diagonals of a parallelogram form two pairs of congruent triangles.

Difference between Rhombus and Parallelogram