Chapter 10C SBM Mathematics and the Arts

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Chapter 10C SBM Mathematics and the Arts

• Perspective and Symmetry

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Terms

• Reflection Symmetry An object remains unchanged
  when reflected. Ex. A
• Rotation Symmetry An object remains unchanged
  when rotated.
• Ex. O and S same size when rotated 180
  degrees

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More Terms

• Translation Symmetry A pattern remains the same
  when shifted from left to right. Ex. X
  X (or up/down)
• Tiling an arrangement of shapes that interlock
  together with no overlapping.
• Ex.

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Example 1 Finding Symmetry

• The star can be rotated 5 diff. Ways and still be
  the same.
• Rotated by 1/5 or 360/5 72degrees
• it is unchanged even rotated 2x72 144, 3x72
  216,
  4x72 288 degrees.
• 72 degrees
• 72 degrees

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Question 1?

• How many reflection symmetries does a
  four-pointed star have?
• Answer 4

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Question 2?

• Make a tiling from the triangle.

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Interesting Examples
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More
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And even more
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PerspectiveExamples
Perspective
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If you need further help, (Go to) Geometry
Lessons

• 4.1 Reflecting Points
• 4.2 Reflecting Figures
• 4.4 Reflections over Parallel Lines
• 4.5 Reflections over Intersecting Lines
• 4.6 Translations and Vectors
• You can find these in the Geometry Powerpoint
  section of the Web-Page
• Click Here

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Homework

• 10C 3, 4, 6, 9 - 12, 15, 16
• 10A and 10C homework quiz next block.
• 10A and 10C quiz next block.