untitled

tesselations

​

What is a Tessellation?

•A tessellation is a pattern created with a repeating shape or shapes that does not overlap, has no gaps, and could continue on and on forever.

History of Tessellations

•Tessellations have been used in art and design for centuries. Islamic art in particular is full of beautiful geometric tessellations.

These patterns were often used in architectural embellishments.

Multiple Choice

What is a tessellation?

• A math formula that allows any three numbers to be plugged in and get a negative and positive answer.

• A computer program designed to aid artists in shape design.

• A tax form that all teachers have to fill out.

• An arrangement of shapes that are closely fitted together without overlapping or gaps.

The Art of M.C. Escher

•Escher began making tessellations in 1936, after an inspiring visit to the Alhambra, a 14th century castle near Granada, Spain. He spent several days studying and sketching the ornate tile designs.

Multiple Choice

Which culture is known for using tessellations in their art?

• Islamic Art

• French Art

• Japanese Art

• Christian Art

Multiple Choice

Which Artist created Tessellations?

• M.C Escher

• Vincent Van Gogh

• Andy Warhol

• Salvador Dali

Multiple Choice

Would this hexagon create a tessellation?

Multiple Choice

Would this figure create a tessellation?

• No

• Yes

Multiple Choice

Which of the following does NOT have tessellation in it?

• Brick wall

• Flower petals

• Bee hive

• Soccer ball

Multiple Choice

Is this an example of a tessellation?

• Yes
• No

Multiple Choice

Is this an example of a tessellation?

• Yes

• No

Multiple Choice

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

What is a translation?

• When you turn an object around a point.
• When you slide an object from one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

Multiple Choice

What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

Multiple Choice

Congruent geometric figures have the:

• Same size
• Sides Equal
• Same Size and Same Shape
• Angles Equal

Multiple Choice

Identify the transformation from C to D.

• 90^o Counter Clockwise Rotation
• 180^o Rotation
• 270^o Counter clockwise Rotation
• 360^o Rotation

Multiple Choice

Identify the transformation.

• Reflection across y axis
• Reflection across x-axis
• 180 Rotation
• Translation 2 units down

Multiple Choice

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Multiple Choice

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Multiple Choice

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

Multiple Choice

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin
• Rotate -90 degrees around the origin and then translate down.
• Reflect across the x-axis and then reflect across the y-axis.
• Translate up and then rotate 90 degrees about the origin.

Multiple Choice

Which type of symmetry involves turning an image?

• Rotational Symmetry
• Transformation Symmetry
• Line symmetry
• Reflection Symmetry

Multiple Choice

Which letter does NOT have symmetry?   G   H   O   E

• G
• H
• O
• E

Multiple Choice

Which letter has point (rotational) symmetry?   A     S     T     W

• A
• S
• T
• W

Multiple Choice

Which letter has both point and line symmetry?    N     S     Z     H  

• N
• S
• Z
• H

Multiple Choice

_{How many lines of symmetry are in the figure?}

• 0
• 1
• 2
• 3

Multiple Choice

How many lines of symmetry does this shape have?

• 1
• 2
• 3
• 4

Multiple Choice

Give one example of a figure having no line of symmetry but having rotational symmetry.

• equilateral triangle
• rhombus
• square
• parallelogram

Multiple Choice

What type of transformation does the picture represent?

• Dilation
• Rotation
• Reflection
• Translation

Multiple Choice

Which of the following words shows vertical line symmetry?

• DEED
• WOW
• SWIMS
• COOKBOOK

Multiple Choice

The playing card shown shows what kind of symmetry?

• Line symmetry
• Rotational symmetry with order 4
• Point symmetry
• No symmetry

Multiple Choice

A tessellation is...

• a repeating pattern 
• a repeating pattern with no overlaps
• a repeating pattern with no gaps or overlaps
• a repeating pattern with no gaps

Multiple Choice

To decide if given figures will tessellate, I look at the shape(s) __________.

• number of sides
• angle measures
• number of vertices
• size

Multiple Choice

In a tessellation, the measures of the angles that meet at each vertex must add up to 360 degrees.

• True
• False

Multiple Choice

Because the angle measures of a _________ add up to 360 degrees, it can always be used to tessellate.

• Triangle
• Quadrilateral
• Pentagon
• Hexagon

Multiple Choice

This figure is a tessellation.

• True
• False

Multiple Choice

Which of the following is NOT an example of a tessellation?

• Brick wall
• Flower petals
• Bee hive
• Soccer ball

Multiple Choice

Name three types of tessellations used by Escher in his artwork

• rotation, translation, dilation
• rotation, reflection, translation
• reflection,  dilation, translation

Multiple Choice

Would the octagon and square tessellate?

• No; two octagons and one square would not meet at each vertex
• Yes; two octagons and one square meet at each vertex
  135+135+90=360
• Yes; two octagons and one square meet at each vertex 130+130+100=360
• Yes; two octagons and one square meet at each vertex; 140+140+80=360

Multiple Choice

Would the octagon and the equilateral triangle tessellate?

• Yes; two octagons and one triangle meet at each vertex; 150+150+60=360
• Yes; two octagons and one triangle meet at each vertex
  135+135+60=360
• Yes; one octagon and two triangles meet at each vertex
  135+60+60=360
• No; there is no combination of 135 and 60 that adds up to exactly 360

Multiple Choice

Would you classify this tessellation as regular, semiregular, or neither?

• regular
• semiregular
• neither