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- All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line. If a figure has rotational symmetry of 180º, then it has point symmetry.
www.cuemath.com/geometry/symmetry/
Interior Angles of Polygons. An Interior Angle is an angle inside a shape: Another example: Triangles. The Interior Angles of a Triangle add up to 180°. Let's try a triangle: 90° + 60° + 30° = 180°. It works for this triangle. Now tilt a line by 10°: 80° + 70° + 30° = 180°. It still works! One angle went up by 10°, and the other went down by 10°.
- Regular Polygon
Properties. So what can we know about regular polygons?...
- Hexagon
When any internal angle is greater than 180° it is concave....
- Interior Angles
Interior Angle An Interior Angle is an angle inside a shape....
- Pentagon
When any internal angle is greater than 180° it is concave....
- Exterior Angles
Exterior Angle The Exterior Angle is the angle between any...
- 2D Shapes
A plane or 2D shape has 2 Dimensions (such as width and...
- Degrees
(Note: "Degree" is also used for Temperature, but here we...
- Polygon
Polygons are 2-dimensional shapes. They are made of straight...
- Regular Polygon
Calculating the Angle Measurements of Regular Polygons. The Axes of Symmetry. A regular polygon is a polygon where all sides and all interior angles have the same measurement. Note: The more sides a regular polygon has, the more it resembles a circle.
Angles, lines and polygons - Edexcel Polygons. Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate. Part of Maths...
- Is It A polygon?
- Types of Polygons
- Remembering
Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up).
Regular or Irregular
A regular polygon has all angles equal and all sides equal, otherwise it isirregular
Concave or Convex
A convexpolygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave. (Think: concave has a "cave" in it)
Simple or Complex
A simple polygon has only one boundary, and it doesn't cross over itself. A complexpolygon intersects itself! Many rules about polygons don't work when it is complex.
Quadrilateral
A QuadBike has 4 wheels
Pentagon
The "Pentagon" in Washington DC has 5 sides
Hexagon
Honeycomb has Hexagons
All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line.
If a figure is symmetric, then any pair of corresponding parts under the symmetry are congruent. Rorschach inkblots and logos commonly are reflective-symmetric. These symmetries will be useful when applied to various polygons. Symmetry is also important in algebra.
Properties. So what can we know about regular polygons? First of all, we can work out angles. All the Exterior Angles of a polygon add up to 360°, so: Each exterior angle must be 360°/n. (where n is the number of sides) Press play button to see. Exterior Angle. (of a regular octagon) Example: What is the exterior angle of a regular octagon?