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Rectangles

A parallelogram in which all the angles are right angles is called a rectangle.

Rectangles in Geometry

Since a general property of all parallelograms is that all adjacent angles are supplementary (add up to 180°), it is obvious that  if a  parallelogram has one right angle (90°), then all the other angles are also 90°

In addition  to the general properties of parallelograms, in a rectangle, the diagonals are of equal length,

We will show these properties using triangle congruence.

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

rectangle with diagonals

A Parallelogram with Equal Diagonals is a Rectangle

rhombus formed by joining midpoints of a rectangle

Quadrilateral Formed by Joining Midpoints of a Rectangle

rectangle with diagonals

Diagonals of Rectangles are of Equal Length

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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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