## What are the properties of parallelograms?

The opposite sides are equal and parallel; the opposite angles are also equal. Let’s learn more about the properties of parallelograms in detail in this lesson. 1. What are the Properties of Parallelogram?

**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.

**What should I look for when sketching a parallelogram?**

For instance, as you sketch your parallelogram, make sure it’s not almost a rhombus (with four sides that are almost congruent) or almost a rectangle (with four angles close to right angles).

### What is the shape of the first parallelogram?

The first parallelogram in the image above is the standard figure that represents a parallelogram (it looks like as if someone sat on a rectangle box). The rhombus (also known as diamond) is the last one in the image, and it is also a common shape for a parallelogram. Are you a student or a teacher?

**How do you make a parallelogram?**

There are several rules involving: To create a parallelogram just think of 2 different pairs of parallel lines intersecting. ABCD is a parallelogram. Click on the button below to turn the pure parallel lines into a parallelogram.

**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.

Another property of parallelograms is that they have opposite pairs of congruent angle. This means that pairs of angles directly across from each other are of equal magnitude. The following proof demonstrates:

#### How to tell if a parallelogram is a rhombus?

Rhombus: If all the sides of a parallelogram are congruent or equal to each other, then it is a rhombus. If there is one parallel side and the other two sides are non-parallel, then it is a trapezium. See the figure below: In the figure above, you can see, ABCD is a parallelogram, where AB || CD and AD || BC.