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A parallelogon must have an even number of sides and opposite sides must be equal in length and parallel (hence the name). A less obvious corollary is that **all parallelogons have either four or six sides**; a four-sided parallelogon is called a parallelogram.

#### How many parallelogram are there in a hexagon?

A hexagon has **3 parallelograms** – Math Central.

#### Can a polygon be a parallelogram?

One special kind of polygons is called a parallelogram. It is a **quadrilateral where both pairs of opposite sides are parallel**. If we have a parallelogram where all sides are congruent then we have what is called a rhombus.

#### What shapes are parallelograms?

Parallelograms are shapes that have four sides with two pairs of sides that are parallel. The four shapes that meet the requirements of a parallelogram are **square, rectangle, rhombus, and rhomboid**.

#### What shape is not a parallelogram?

**A trapezium** is the quadrilateral that is not a parallelogram as its two sides are not parallel.

#### Learn Regular Polygons, Rhombus, Triangle, Parallelogram, Pentagon, Hexagon, Square – [5-9-3]

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#### What is special parallelogram?

**A rhombus**, which is also called a diamond, is a special parallelogram with four congruent sides. A rectangle is a special parallelogram in which all four angles are equal to 90°. A square is a special parallelogram that is both equilateral and equiangular.

#### Is trapezoid a parallelogram?

A trapezoid can be called a **parallelogram when it has more than one pair of parallel sides**.

#### Is a square always a rhombus?

**All squares are rhombuses**, but not all rhombuses are squares. The opposite interior angles of rhombuses are congruent. Diagonals of a rhombus always bisect each other at right angles.

#### Why is a parallelogram not a polygon?

A parallelogram is a four-sided shape with opposite sides that are both parallel and equal in length. … Finally, a polygon is a closed, two-dimensional shape with many sides. Everything from a triangle to an octagon to a megagon is a type of polygon. For all of these shapes, the perimeter is the sum of the sides.

#### Is a parallelogram always a quadrilateral?

Explanation: A Quadrilateral is only a 4 sided figure & has no specific features, whereas a Parallelogram is a 4 sided figure with opposite sides parallel and equal, opposite angles equal and adjacent angles in a linear pair. A Quadrilateral is not a Parallelogram. A Parallelogram is a Quadrilateral.

#### Does a rhombus have 4 right angles?

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because **a rhombus does not have to have 4 right angles**. Kites have two pairs of adjacent sides that are equal.

#### How many is a parallelogram?

There are **three special types** of a parallelogram. 1. Rhombus: A parallelogram in which all sides are equal. Here AB = BC = CD = DA.

#### How many trapezoids make a hexagon?

I put together **2 trapezoids** to make a hexagon. It has 6 sides and 6 vertices.

#### How many triangles are in a hexagon?

A regular hexagon can be dissected into **six equilateral** triangles by adding a center point. This pattern repeats within the regular triangular tiling.

#### Is isosceles trapezoid a parallelogram?

Definition: A parallelogram is a quadrilateral that has both pair of opposite sides parallel. Definition: An isosceles trapezoid is **a trapezoid, whose legs have the same length**. It is clear from this definition that parallelograms are not isosceles trapezoids.

#### Are rectangles parallelograms?

The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why **a rectangle is always a parallelogram**.

#### Which is the parallelogram?

A parallelogram is **a quadrilateral with opposite sides parallel (and therefore opposite angles equal)**. A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle. … The polygon diagonals of a parallelogram bisect each other (Casey 1888, p. 2).

#### What is the most special parallelogram?

The biggest distinguishing characteristics deal with their four sides and four angles. A **rectangle** is a parallelogram with four right angles. A rhombus, which is sometimes called a rhomb or diamond, as Math is Fun nicely states, is a parallelogram with four congruent sides.

#### Which best describe a parallelogram?

In Euclidean geometry, a parallelogram is a **simple (non-self-intersecting) quadrilateral with two pairs of parallel sides**. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

#### How do you identify a parallelogram?

**To identify a parallelogram, the shape has to meet one of the following criteria:**

- It has two pairs of parallel opposite sides.
- It has two pairs of equal opposite angles.
- It has two pairs of equal and parallel opposite sides.
- Its diagonals bisect each other.