# What are adjacent sides and angles

## Calculating on the square solutions

**In this section you will find the solutions to the exercises and tasks for the article "Arithmetic on a square". First work on these tasks yourself and only then look at our solutions. **

**Solution to task 1: answer the questions**

1a) A flat figure enclosed by four lines is called a square.

1b)

**scope**: The sum of all line lengths is called the circumference of the quadrilateral.

**Angle sum**: If you add the sum of all interior angles - see graphic above - you get 360 degrees, like a circle**Angle sum**= 360 ° = α + β + γ + δ

**information**: A quadrilateral has four corners, four interior angles and four delimiting segments

1c) There are two different types of quadrilaterals: convex and concave. If all diagonals lie within the rectangle, it is called convex, otherwise it is called concave.

1d) Rectangle, square, parallelogram, trapezoid and diamond / rhombus

1e) rectangle:

- A rectangle is enclosed by four lines
- Opposite sides are the same length and parallel.
- The two diagonals are the same length and bisect each other.
- The sum of all angles is 360 degrees

1f) square:

- the four sides are the same length
- the four interior angles are the same size
- it has four axes of symmetry
- it is 4-fold rotationally symmetrical
- it is point symmetric
- the two diagonals are the same length

1g) parallelogram:

- Two opposite sides are parallel and of the same length
- The sum of neighboring angles is 180 °
- The opposite angles are the same
- The diagonals bisect each other
- The center of symmetry is the intersection of the diagonals.

1h) trapezoid:

- A square with at least two parallel sides
- The two parallel sides are called the base of the trapezoid.
- One of these base sides (usually the longer one) is often referred to as the base of the trapezoid, the two adjacent

Sides as legs. - The height h of the trapezoid is the distance between the two parallel sides.
- Each trapezoid has two diagonals that intersect in equal proportions.

1i) diamond:

- A diamond is a flat convex square with four sides of equal length (equilateral square)
- The opposite sides are parallel to each other
- The two diagonals are axes of symmetry.
- The diagonals are perpendicular to each other and bisect each other.
- Opposite angles are the same size
- The angle sum of all interior angles is 360 °.
- Adjacent angles add up to 180 °.

**Left:**

### Who's Online

We have 501 guests online- How was Douglas College founded
- Why do restaurants charge more for dinner?
- Firstnaukri com and Naukri com are the same
- Which restaurant chain has the best lasagna
- How important is the RAM speed for fps
- How does BBC make news films
- When was fuel produced
- What fuel is used in missiles
- How do I get fluffy hair
- When did everything go wrong?
- What number of presidents is Abraham Lincoln
- How do I make money while idling
- What is your rating of the Evernote product
- How does Slack compare to Asana
- What screams I'm a physicist
- Which film should every statistics student watch?
- Marketing automation can ever replace humans
- What is the Kaveri River water dispute
- What are the different types of DNA sequencing
- Which film should every statistics student watch?
- What is the full form of OFET
- What is resin floor
- How did you become an amateur blogger
- Which CMS has the best user interface