CHAPTER 6: Math in Nature & Art

Dihedral Rosette Patterns have both rotational and reflectional symmetry unlike Cyclic Patterns

• True

• False

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CCSS.HSG.CO.A.4

The is a series of numbers in which each number is the sum of the two preceding ones.

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CCSS.HSF.BF.A.2

 is a property of an object or design where one half is a mirror image of the other half.

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CCSS.4.G.A.3

What type of pattern is formed when a geometric shape is repeated with a specific orientation around a central point?

• Cyclic pattern

• Fractal pattern

• Dihedral pattern

• Rosette pattern

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CCSS.1.G.A.2

Isometries preserve distance and shape

• True

• False

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CCSS.HSG.CO.A.2

Which of the following transformations is NOT considered an isometry?

• Translation

• Reflection

• Dilation

• Rotation

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CCSS.HSG.CO.A.2

The following statements are false about fractals EXCEPT:

• Upon closer inspection, fractals showcase unique formations present nowhere else

• They exhibit self-similarity

• Some important mathematicians who've contributed to this concept are Gaston Benoit and Maurice Mandelbrot

• It is an entirely unique and independent branch of mathematics unrelated to geometry and applications in art and nature.

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CCSS.HSG.SRT.B.5

changes the size of an object without altering its shape. It can either make the figure larger or smaller, stretching or compressing it.

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CCSS.8.G.A.3

Which of the following best defines symmetry in mathematics?

• The arrangement of patterns in a complex structure

• A geometric shape with repeating elements

• The property of an object remaining unchanged under a transformation

• The study of self-replicating patterns in nature

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CCSS.4.G.A.3

Which of the following transformations is an example of an isometry?

• Stretching

• Shearing

• Scaling

• Reflection

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CCSS.HSG.CO.A.2