Question

what is parallelogram​

Answer 1

Step-by-step explanation:

A quadrilateral having two opposite sides equal and parallel is said to be a parallelogram

Answer 2

Step-by-step explanation:

Parallelogram - Definition with Examples

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What is Parallelogram?

A parallelogram is a special type of that has equal and parallel opposite sides.

The given figure shows a parallelogram ABCD which as AB parallel to CD and AD parallel to BC.

Also, AD = BC and AB = CD.

parallelogram

We also see a lot of parallelogram like and around us.

Properties of parallelogram

Properties of parallelogram 1

The opposite sides of a parallelogram are parallel to each other.

Here, AB ∥ CD and AD ∥ BC

Properties of parallelogram 1

The opposite sides of a parallelogram are equal in length.

Here, AB = CD and AD = BC

Properties of parallelogram 4

The opposite angles of a parallelogram are equal in measure.

Here, Angle A = Angle C and

Angle B = Angle D.

Properties of parallelogram 4

Adjacent angles of a parallelogram add up to 180°

Here, Angle A + Angle B = 180°

Angle B + Angle C = 180°

Angle C + Angle D = 180°

Angle D + Angle A = 180°

Properties of parallelogram 5

Diagonals of a parallelogram bisect each other.

Here AC and BD bisect each other.

Types of a parallelogram

There are three special types of a parallelogram.

1. : A parallelogram in which all sides are equal.

Rhombus parallelogram

Here AB = BC = CD = DA. ABCD is a rhombus.

2. : A parallelogram in which all angles are right angles and the diagonals are equal.

rectangle parallelogram

Here all angles are right angles. Diagonals PN and OM are equal.

3. : A parallelogram with all equal sides and all angles equal to 90 degrees. The diagonals of a square are also equal.

square parallelogram

Here all sides are equal and all the angles are right angles.

Diagonals AC and BD are equal.

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