Regular Rectangle

Line of Symmetry

  1. Regular Rectangle Definition
  2. Properties Of A Rectangle

Here my dog 'Flame' has her face
made perfectly symmetrical with a bit
of photo magic.

The white line down the center is the
Line of Symmetry

Regular Rectangle Definition

Folding Test

You can find if a shape has a Line of Symmetry by folding it.

6 Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself? 1) octagon 2) decagon 3) hexagon 4) pentagon 7 Which figure always has exactly four lines of reflection that map the figure onto itself? 1) square 2) rectangle 3) regular octagon 4) equilateral triangle 8 Which transformation would not carry a square onto. September 23, 2018. Available Sizes (approximate): 3×6, 4×8, 6×12, 8×16, 12×24, Custom Sizes Available. Available Finishes: Traditional, Manganese, & Antique Saltillo. Available Edges: Super & Regular. The Rectangle shape Mexican tile creates a variety of patterns. 15% overage is recommended for waste, cuts, and borders. Previous Project.

When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

Here I have folded a rectangle one way, and it didn't work.


So this is not a Line of Symmetry

But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching):


So this is a Line of Symmetry

Triangles

A Triangle can have 3, or 1 or no lines of symmetry:

Regular

Properties Of A Rectangle

Rectangle
Equilateral Triangle
(all sides equal,
all angles equal)
Isosceles Triangle
(two sides equal,
two angles equal)
Scalene Triangle
(no sides equal,
no angles equal)
3 Lines of Symmetry1 Line of SymmetryNo Lines of Symmetry

Quadrilaterals

Different types of Quadrilaterals (a 4-sided plane shape):

Square
(all sides equal,
all angles 90°)
Rectangle
(opposite sides equal,
all angles 90°)
Irregular
Quadrilateral

4 Lines of Symmetry2 Lines of SymmetryNo Lines of Symmetry
Kite
Rhombus
(all sides equal length)
1 Line of Symmetry2 Lines of Symmetry

Regular Polygons

Regular Rectangle

A regular polygon has all sides equal, and all angles equal:

An Equilateral Triangle (3 sides)
has 3 Lines of Symmetry
A Square (4 sides)
has 4 Lines of Symmetry
A Regular Pentagon (5 sides)
has 5 Lines of Symmetry
A Regular Hexagon (6 sides)
has 6 Lines of Symmetry
A Regular Heptagon (7 sides)
has 7 Lines of Symmetry
A Regular Octagon (8 sides)
has 8 Lines of Symmetry

And the pattern continues:

Regular Rectangle
  • A regular polygon of 9 sides has 9 Lines of Symmetry
  • A regular polygon of 10 sides has 10 Lines of Symmetry
  • ...
  • A regular polygon of 'n' sides has 'n' Lines of Symmetry

Circle

A line (drawn at any angle) that goes through its center is a Line of Symmetry.

So a Circle has infinite Lines of Symmetry.