## Does a parallelogram have a rotational symmetry?

Order 2

Parallelogram/Rotational symmetry

## What is the formula of finding area of parallelogram?

Area = ½ × d1 × d2 sin (y)

All Formulas to Calculate Area of a Parallelogram | |
---|---|

Using Base and Height | A = b × h |

Using Trigonometry | A = ab sin (x) |

Using Diagonals | A = ½ × d1 × d2 sin (y) |

**How many symmetry lines does a parallelogram have?**

A parallelogram has no lines of symmetry. It has rotational symmetry of order two.

### What is the order of rotation of a parallelogram?

order two

Parallelogram. It has rotational symmetry of order two.

### What is order of rotational symmetry of a parallelogram?

**How many sides does a parallelogram have?**

4

Parallelogram/Number of edges

#### How parallelogram has no line of symmetry?

There is no line of symmetry of a parallelogram along its length, breadth. There is no superimposition of one half on the other when folded along its half. The diagonals are not symmetrical. This is because, when we fold the parallelogram along the diagonal line, we do not get the same shape as two halves.

#### What are diagonals of a parallelogram?

Diagonals of a parallelogram are the segments which connect the opposite corners of the figure. Where, p,q are the diagonals. a,b are the parallel sides.

**What do the opposite sides of a parallelogram have in common?**

The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.

## How do you prove that two parallelograms are equal in area?

One of the proofs done by Euclid in his “Elements” book, where he laid the foundation for geometry, is that if you draw lines parallel to the sides of a parallelogram and through any point on the diagonal of a parallelogram, then the two parallelograms above and below that diagonal are equal in area. We’ll repeat the proof here.

## What does diagonal mean in math?

Diagonal in geometry, a line segment connecting two non-adjacent vertices of a polygon or polyhedron. The diagonal of a polygon is a line segment connecting its two vertices that do not lie on one side. A parallelogram is a quadrangle in which the opposite sides are pairwise parallel, that is, they lie on parallel lines.