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This Is A Quadrilateral With Four Congruent Angles (All 90°)

Quadrilaterals & their properties(anmol)
Quadrilaterals & their properties(anmol) from pt.slideshare.net

Welcome to our discussion about the quadrilateral with four congruent angles, all equal to 90 degrees. In this tutorial, we will be exploring the concept of this unique quadrilateral and how it can be used in various applications. This quadrilateral is one of the most important shapes in mathematics, and its properties have been studied for centuries. If you want to know more about this topic, then keep reading!

What is a Quadrilateral?

A quadrilateral is a polygon with four sides and four vertices. It is a two-dimensional shape that can be defined by its angles and sides. There are different types of quadrilaterals such as a square, rectangle, rhombus, trapezium, and kite. These types of quadrilaterals have different properties and characteristics, but they all share the common feature of having four sides and four vertices.

What is a Quadrilateral with Four Congruent Angles?

A quadrilateral with four congruent angles is a special type of quadrilateral where all four angles are equal to 90 degrees. This quadrilateral is commonly known as a square, and it has several unique properties that make it an important shape in mathematics. The sides of a square are also congruent, which means that they have the same length.

Properties of a Square

A square has several properties that make it unique. Firstly, all four angles are congruent, which means that they are all equal to 90 degrees. Secondly, all four sides are congruent, which means that they have the same length. Thirdly, the diagonals of a square are congruent and perpendicular to each other. Finally, the area of a square is equal to the length of one of its sides squared.

Applications of a Square

The square has several applications in different fields. In architecture, the square is used to create buildings and structures with a symmetrical and balanced design. In engineering, the square is used to design machines and equipment that require a stable and secure platform. In art, the square is used to create patterns and designs that are pleasing to the eye. In mathematics, the square is used to solve problems involving area and perimeter.

How to Construct a Square?

Constructing a square is very easy. All you need is a ruler, a compass, and a pencil. Here are the steps to construct a square:

  • Draw a straight line segment AB using a ruler.
  • Place the compass on point A and draw an arc that intersects the line segment AB.
  • Place the compass on point B and draw an arc that intersects the line segment AB.
  • Draw a line segment from the intersection points of the two arcs. This line segment will be perpendicular to the line segment AB.
  • Measure the length of the line segment you just drew. This length will be the length of one side of the square.
  • Using the compass, draw arcs with the length of the line segment on both sides of the perpendicular line segment you just drew.
  • Draw two more perpendicular line segments from the intersection points of the arcs you just drew.
  • You now have a square!
  • Conclusion

    The quadrilateral with four congruent angles, all equal to 90 degrees, is a special type of quadrilateral called a square. The square has several unique properties that make it an important shape in mathematics. It is used in various applications such as architecture, engineering, art, and mathematics. Constructing a square is easy and requires only a ruler, compass, and pencil. The square is a fundamental shape that has been studied for centuries and will continue to be studied for many more to come.

    Thank you for reading!

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