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Trapezoids

A quadrangle in which one pair of opposite sides are parallel to each other, but the other pair is not, is called a trapezoid.

Outside of the US and Canada, it is often called a trapezium.

Trapezoid in Geometry

Trapezoids are usually drawn with one of the parallel edges at the bottom. The parallel edges are called the bases, while the non-parallel edges are called the sides.

There are several types of special trapezoids.

"Right trapezoids" have one side which is perpendicular to the bases, creating two right angles.

Right trapezoid

Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.

Isosceles trapezoid

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

The Harmonic Mean in a Trapezoid

Lines that Intersect on a Trapezoid's Midsegment

Lines that Intersect on a Trapezoid's Midsegment

Trapezoid with diagonal

Converse of the Trapezoid Midsegment Theorem

trapezoid with two equal parts

Similar Trapezoids

trapezoid with two equal parts

Line Parallel to the Base of a Trapezoid

trapezoid midsegment

Trapezoid Midsegment Theorem

trapezoid with angles

Trapezoids: Adjacent angles are Supplementary

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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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