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Squares

A rectangle in which all the sides are equal, or a rhombus in which the angles are right angles, is called a square.

Squares in Geometry

A square combines the properties of rectangles and diamonds.

So in a square, the diagonals are of equal length, they bisect each other, they bisect the angles, and they are perpendicular to each other
We will show these properties using triangle congruence.

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Now that we've explained the basic concept of squares in geometry, let's scroll down to work on specific geometry problems relating to this topic.

Square with diagonals

How to Find the Side of a Square From Its Diagonal

Centers of squares on sides of triangles

Radius of a Regular Polygon

Square with diagonals

The Diagonals of a Square Bisect Each Other

Square with diagonals

How to Find the Diagonal of a Square

Square with diagonals

The Diagonals of Squares are Perpendicular to Each Other

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About

Welcome to Geometry Help! I'm Ido Sarig, a high-tech executive with a BSc degree in Computer Engineering and an MBA degree in Management of Technology. I'm here to tell you that geometry doesn't have to be so hard! My goal with this website is to help you develop a better way to approach and solve geometry problems, even if spatial awareness is not your strongest quality. Read More…

Geometry Topics

  • Area of Geometric Shapes
  • Circles
    • Arcs, Angles, and Sectors
    • Chords
    • Inscribed Shapes
    • Tangent Lines
  • Lines and Angles
    • Intersecting Lines and Angles
    • Parallel Lines
    • Perpendicular lines
  • Pentagons and Hexagons
  • Perimeter of Geometric Shapes
  • Polygons
  • Quadrangles
    • Kites (Deltoids)
    • Parallelograms
    • Rectangles
    • Rhombus
    • Squares
    • Trapezoids
  • Triangles
    • Congruent Triangles
    • Equilateral Triangles
    • Isosceles Triangles
    • Pythagorean Theorem
    • Right Triangles
    • Similar Triangles
    • Triangle Inequalities

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