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 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.