OML Search

Properties of Polygons




 
Related Topics:
More Lessons for High School Geometry

Math Worksheets

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 kite
  • the properties of a trapezoid
  • the triangle midsegment properties
  • the trapezoid midsegment properties


Kite Properties

Knowing the properties of a kite will help when solving problems with missing sides and angles. Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, rhombus, and rectangle and square properties.

How to identify a kite and its special properties.

This video is a formal lesson on the properties of kites and trapezoids. An example on each property is provided.



Trapezoid Properties

Trapezoids are one of the most common quadrilaterals. A trapezoid has one pair of parallel sides. When a trapezoid has two sets of parallel sides, it is a more specific type of trapezoid called a parallelogram. A more specific type of trapezoid is called an isosceles trapezoid. In addition to one pair of parallel sides, isosceles trapezoid properties include congruent legs, base angles and diagonals.

How to identify a trapezoid and its special properties.

Properties of Trapezoids and Kites


 

Triangle Midsegment Properties

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side. Another important set of polygon midsegment properties to be familiar with are trapezoid midsegment properties.
How to define a triangle midsegment and describe its special properties.
This video introduces midsegments of a triangle and states the properties of the midsegments of a triangle.
This video introduces midsegments of a triangle and states the properties of the midsegments of a triangle.


This video provided example problems of how to determine unknown values using the properties of the midsegments of a triangle

Trapezoid Midsegment Properties

A midsegment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid. A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases. A trapezoid midsegment is related to a triangle midsegment given that both of their lengths are proportional to the bases.
How to define the midsegment of a trapezoid, calculate its length, and relate it to a triangle midsegment.
Trapezoids & Medians/Midsegments
Angles and Segments of the Medians/Midsegments


 
Midsegment of trapezoids, basic definition and example problems.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines