Regular Polygons
Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 7 of 61.
A regular polygon has all its sides equal and all its angles equal. The equilateral triangle and the square are the regular polygons with 3 and 4 sides. Figures show equal sides with matching ticks and equal angles with matching arcs.
A regular hexagon's six angles add up to 720°, and they are all equal, so each one is 720 / 6 = 120 degrees.
On the board, tap one angle and pick Angles in a polygon. The board uses the matching arcs together with the rule: six equal angles making 720° fixes each one.
Challenge
ABCDE is a regular pentagon: the same tick on every side and the same arc in every corner. Find the angle marked ?, then press Check.
Try it yourself
Find the marked part of the figure
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Polygons & Quadrilaterals
1Polygons
Polygons and DiagonalsAngles of a QuadrilateralAngles in Any PolygonPolygon Angles with xHow Many Sides?Recap: Polygon Angles4Parallelograms
ParallelogramsNeighbouring AnglesOpposite AnglesParallelograms with xA Diagonal InsideRecap: Parallelograms2Regular Polygons
Regular PolygonsFrom an Angle to the SidesInside a Regular PolygonRecap: Regular Polygons5Rectangles, Rhombi, Squares
RectanglesThe Diagonal of a RectangleRhombus AnglesSquaresRecap: Special Parallelograms3Exterior Angles
Exterior AnglesExterior Angles Make 360°Regular Exterior AnglesSides from the ExteriorRecap: Exterior Angles6Trapezoids and Kites
TrapezoidsIsosceles TrapezoidsTrapezoids with xKitesRecap: Trapezoids and Kites