Symmetry

Symmetry

By Adrienne Chodnowsky

Open Ended

What does symmetry mean to you?

Symmetry

​If a shape is SYMMETRICAL, it means that there is a transformation (rotation, reflection, or translation) that maps it exactly onto itself.

3 Types of Symmetry

• Line Symmetry

• Rotational Symmetry

• Point Symmetry​

Some text here about the topic of discussion

There exists a line of reflection such that every point on a shape maps on to another point creating the same shape

​

Line Symmetry

There exists a line of reflection such that every point on a shape maps on to another point creating the same shape

​

Line Symmetry (NOT EXAMPLES)

Multiple Select

How many lines of symmetry does this figure have?

• None

• Two

• One

Multiple Choice

How many lines of symmetry does this shape have?

This a regular octogon, an 8 sided figure.

• 2

• 4

• 6

• 8

Multiple Choice

How many lines of symmetry does the picture have? 

This is an equilateral triangle.

• 0 lines of symmetry

• 1 line of symmetry

• 2 lines of symmetry

• 3 lines of symmetry

Multiple Choice

Which of the following alphabet has vertical line of symmetry?

• B
• E
• V
• S

Multiple Choice

Which of the following plane figure has exactly 4 lines of symmetry?

• Square
• Rectangle
• Circle
• Triangle

There exists a point of rotation such that every point on a shape maps on to another point creating the same shape

​

Rotational Symmetry

There exists a point of rotation such that every point on a shape maps on to another point creating the same shape

​

Rotational Symmetry (NON EXAMPLES)

Multiple Choice

The order of rotational symmetry of a regular polygon is the same as its number of sides.

Find the order of rotational symmetry in this shape.

• 4

• 8

• 7

• 6

Multiple Choice

What is the order and angle of rotation of the flower?

• Order 6, 60 degrees
• Order 4, 90 degrees
• Order 3, 120 degrees
• Order 6, 254 Degrees

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 60°
• None
• 51.4°
• 45°

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 72°
• 180°
• 144°
• 45°

Point Symmetry exists when a figure is built around a point such that every point in the figure has a matching point that is:​

• the same distance from the central point

• but in the opposite direction.

 

Point Symmetry

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Select

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

• Line

• Point

• Rotational

• None

Multiple Choice

How many lines of symmetry does this shape have?

• 1
• 2
• 4
• 6

Multiple Choice

A rectangle has ...

• line symmetry
• rotational symmetry
• both line and rotaional symmetry 
• neither line nor rotational symmetry

Multiple Choice

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

• H
• I
• Z
• X

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 60°
• None
• 51.4°
• 45°

Multiple Choice

Say 'TRUE' or 'FALSE'

A Parallelogram has no line of symmetry.

• TRUE

• FALSE

Multiple Choice

Which shape does NOT have rotational symmetry?

• A
• B
• C
• D

Multiple Choice

Describe the Symmetry.

• The figure has point symmetry only

• The figure has only line symmetry.

• The figure has both point and line symmetry.

• The figure has no symmetry.

Open Ended

What is one thing new you learned about symmetry?