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Properties of Polygons

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More Lessons for High School Geometry

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A series of free, online High School Geometry Video Lessons.
Videos, worksheets, and activities to help Geometry students.

In this lesson, we will learn

  • the properties of a parallelogram
  • the properties of a trapezoid
  • the properties of a rhombus
  • the properties of a rectangle and a square

Parallelogram Properties

Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other. Other important polygon properties to know are trapezoid properties, and kite properties.

How to identify all of the special properties of parallelograms and use them to solve problems.
This video discusses the definition of a parallelogram and the properties of parallelograms. It gives seven properties in detail so you have a full understanding of each property that a parallelogram has.

Properties and Parts of Trapezoids

This video gives the properties and parts of trapezoids. It discusses the differences between trapezoids, parallelograms, and kites. It also describes the parts of trapezoids, including bases, legs, and base angles. It also solves example problems that will help you understand trapezoids better.


Rhombus Properties

Properties of rhombi often show up in geometric proofs and many other types of problems. All parallelogram properties apply to rhombus properties since a rhombus is a type of parallelogram. In a rhombus, there are (1) two pairs of parallel sides, (2) four sides that are all congruent to each other, (3) diagonals that bisect the angles, and (4) diagonals that are perpendicular bisectors of each other.
How to define a rhombus and compare it to a square and rectangle.
Properties of Rhombi (Rhombus)

Thid video discusses all 10 properties of rhombi. It explains what properties differentiate a rhombus from a parallelogram. It also goes over 2 example problems dealing with interior angles, side length, and diagonals.


Rectangle and Square Properties

Squares and rectangles are special types of parallelograms with special properties. A square is a type of equiangular parallelogram and square properties include congruent diagonals and diagonals that bisect each other. A rectangle is a type of regular quadrilateral. Rectangle properties include (1) diagonals that are congruent, (2) perpendicular diagonals that bisect each other and (3) diagonals that bisect each of the angles.
How to define a rectangle and a square.
Definitions and properties of the rhombus, rectangle, and square. A Venn diagram is used to show similarities as well.
Special Properties of rectangle, rhombus and square


You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

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