Number of Diagonals In a Regular Polygon – Geometry

This geometry video tutorial explains how to calculate the number of diagonals in a regular polygon such as a square, pentagon, hexagon, heptagon, and an octagon. It also explains how to confirm the answer by drawing the diagonals in a regular polygon. In addition, it discusses how to determine the type of polygon given the number of diagonals as well as the sum of the interior angles of a polygon and the measure of each interior angle and exterior angle.

Polygons:

Angles of Regular Polygons:

Quadrilaterals:

Parallelograms:

Rectangles – Special Quadrilaterals:

Isosceles Trapezoids:

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The Rhombus:

Kites:

Proving Parallelograms:

Proving a Quadrilateral Is a Kite:

Proving a Quadrilateral Is a Rhombus:

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Proving Isosceles Trapezoids:

2 Column Proofs – Quadrilateral:

Skew Lines:

Points, Lines, Planes, & Segments:

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