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Parallelograms

A quadrangle in which both pairs of opposite sides are parallel to each other is called a parallelogram.

The opposite sides of a parallelogram are equal in size to each other, and the opposite angles are equal - as we will show, using triangle congruence.

Other properties include:

  • The diagonals of a parallelogram bisect each other
  • Any two adjacent angles are supplementary

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

Parallelogram with diagonals

Quadrilateral Whose Diagonals Bisect Each Other

Parallelogram with diagonals

The Diagonals Divide a Parallelogram Into Four Equal Areas

Parallelogram with diagonal

Parallel Lines Drawn Through a Point on the Diagonal of a Parallelogram

properties of parallelograms

Parallelograms: Consecutive Angles are Supplementary

parallelogram with diagonal

Parallelograms: The Two Pairs of Opposite Angles are Congruent

parallelogram with diagonal

Opposite Sides of a Parallelogram are Equal

properties of parallelograms

Proving that a Quadrilateral is a Parallelogram

Parallelogram with diagonals

The Diagonals of a Parallelogram Bisect 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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