Types of Parallelogram
There are three types of parallelogram, based on the properties of parallelogram. They are :
- Rectangle
- Square
- Rhombus
Now let’s discuss all these three types of parallelogram in some detail.
Rectangle
A rectangle is a parallelogram with two pairs of equal and parallel opposite sides, along with four right angles.
Observe the rectangle ABCD and associate it with the following properties,
- Two pairs of parallel sides. Here AB || DC and AD || BC
- Four right angles ∠A = ∠B = ∠C = ∠D = 90°.
- The opposite sides are the same length, where AB = DC and AD = BC.
- Two equal diagonals where AC = BD.
- Diagonals that bisect each other.
To learn about rectangles in detail, head over to Rectangle.
Diagram of a Rectangle
Square
A square is a parallelogram with four equal sides and four equal angles.
Observe the square ACDB and associate it with the following properties:
- Four equal sides are AB = BC = CD = DA.
- Right angles are ∠A = ∠B = ∠C = ∠D = 90°.
- There are two pairs of parallel sides. Here AB || DC and AD || BC.
- Two identical diagonals where AD = BC.
- Diagonals are perpendicular and bisect each other; AD is perpendicular to BC.
To learn about squares in detail, head over to Square.
Diagram of a Square
Rhombus
A parallelogram with four equal sides and equal opposite angles is called a rhombus. Consider the diamond ABCD and assign it the following attributes,
- In the given figure, the four equal sides are AB = CD = BC = AD.
- The two pairs of parallel sides are AB || CD and BC || AD.
- The equal opposite angles are ∠A = ∠B and ∠C = ∠D.
- Here, the diagonals (AC and BD) are perpendicular to each other and bisect at right angles.
Diagram of a Rhombus
To learn about rhombus in detail, head over to Rhombus.
Introduction to Parallelogram: Properties, Types, and Theorem
Parallelogram is a two-dimensional geometrical shape whose opposite sides are equal in length and parallel. The opposite angles of a parallelogram are equal in measure.
In this article, we will learn about the definition of a parallelogram, its properties, types, theorem and formulas on the area and perimeter of a parallelogram in detail.
Table of Content
- Parallelogram Definition
- Shape of Parellelogram
- Angles of Parallelogram
- Properties of Parallelogram
- Types of Parallelogram
- Parallelogram Formulas
- Area of Parallelogram
- Perimeter of Parallelogram
- Parallelogram Theorem
- Difference Between Parallelogram and Rectangle
- Solved Examples on Parallelogram
- Real-Life Examples of a Parallelogram
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