Investigation 1 Three types of symmetry

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Investigation 1Three types of symmetry

• If you drew a vertical line through the center of
  the butterfly, the two halves of the drawing
  would be mirror images.
• You could rotate the drawing less than a full
  turn about its centerpoint to position in which
  it looks the same as the original drawing.
• You could slide any figure in the design in a
  regular straight-line pattern so that it exactly
  matches the original figure.

• REFLECTIONAL SYMMETRY
• ROTATIONAL SYMMETRY
• TRANSLATIONAL SYMMETRY

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Investigation 1Three types of symmetry

• If you drew a vertical line through the center of
  the butterfly, the two halves of the drawing
  would be mirror images.
• You could rotate the drawing less than a full
  turn about its centerpoint to position in which
  it looks the same as the original drawing.
• You could slide any figure in the design in a
  regular straight-line pattern so that it exactly
  matches the original figure.

• REFLECTIONAL SYMMETRY
• ROTATIONAL SYMMETRY
• TRANSLATIONAL SYMMETRY

Reflect Flip
Rotate Turn
Translate Slide
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Problem 1.1

• Reflectional Symmetry

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Find all of the lines of symmetry for each
design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
Is this a line of symmetry?
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Find all of the lines of symmetry for each design.
No, when you fold over this line, the little
triangles will not match up. If they were
turned, or if they were removed, or if they were
squares it would be a line of symmetry.
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Find all of the lines of symmetry for each design.
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Find all of the lines of symmetry for each design.
There are NO lines of symmetry in this
design. Would there be a line of symmetry if I
removed the head, legs, arms?
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Find all of the lines of symmetry for each design.
If I removed the head, legs, arms, the figure
would still have no lines of symmetry. The
double dark line on the top left will not match
the single white line on the top right.
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1.1 Follow Up
How many possible lines of symmetry are there in
any square design?
Explain why these traditional quilt designs do
not have reflectional symmetry.