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Line of Symmetry
When looking at an image or shape, a line of symmetry is a line that divides the shape into 2 reflected identical parts.
Types of lines of symmetry
- Vertical line of symmetry
- Horizontal line of symmetry
- Oblique or slant line of symmetry
How many lines of symmetry can you have?
- Can a shape have 1 line of symmetry?YES
- Can a shape have 2 lines of symmetry?YES
- Can a shape have 3 line of symmetry?YES
- Can a shape have 4 line of symmetry?YES
- Can a shape have 0 lines of symmetry?YES
A line can havev 0, 1, or more lines of symmetry!
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Example: Lines of Symmetry
For each of the following figures, determine the number and types of lines of symmetry (if any), then draw all the lines of symmetry.
a.
There is one line of symmetry, it is the horizontal line of symmetry.
b.
There are no lines of symmetry.
c.
There are 4 lines of symmetry -- the horizontal, vertical, and 2 oblique lines of symmetry.
Mark Yourself Question
- Grab a piece of paper and try this problem yourself.
- When you're done, check the "I have answered this question" box below.
- View the solution and report whether you got it right or wrong.
Practice: Lines of Symmetry
Complete the following drawing by reflecting the solid blue figure along the dotted line of symmetry.
Practice: Lines of Symmetry
Are the following statements true or false?
a) All squares have exactly 4 lines of symmetry
b) All rectangle has only 2 lines of symmetry.
c) All parallelogram has 2 lines of symmetry.
d) Any circle has 4 lines of symmetry.
e) A triangle can have 0, 1, 2, or 3 lines of symmetry.
Mark Yourself Question
- Grab a piece of paper and try this problem yourself.
- When you're done, check the "I have answered this question" box below.
- View the solution and report whether you got it right or wrong.
Practice: Lines of Symmetry
You find the following puzzle at the bottom of a cereal box. Quick! What should the next symbol be?
Practice: Lines of Symmetry
How many lines of symmetry do the following figures have?
a) A 7-sided regular polygon.
b) A 15-sided regular polygon.
c) An 8-sided regular polygon.
d) A 20-sided regular polygon.
e) An n-sided regular polygon.