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Which region(s) will tessellate the plane? Which region(s) will tessellate the plane?

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State whether each of the following shapes can tessellate the plane. A) a regular 11-gon B) State whether each of the following shapes can tessellate the plane. A) a regular 11-gon  B)    C)   C) State whether each of the following shapes can tessellate the plane. A) a regular 11-gon  B)    C)

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A) Explain how you know that every parallelogram will tessellate the plane. Drawing pictures to illustrate your thinking may be helpful. B) Explain how you know that every triangle will tessellate the plane. Drawing pictures to illustrate your thinking may be helpful. C) Explain how you know, without taking the time to draw it out accurately, why a regular pentagon cannot tessellate the plane.

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A) You will likely get a drawing. B) You will likely get a drawing-check that there is a clear, repeatable pattern. C) Each angle of a regular pentagon has a size of 108°, and 108° angles will not fit together to make 360°.

Explain whether a regular pentagon can tessellate the plane. Be very specific, using angles measures. Write the explanation in full, understandable sentences.

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Which item(s) can tessellate space?


A) a Cheerios cereal box
B) a baseball
C) a carrot (one size)
D) a CD case

E) All of the above
F) A) and C)

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Explain why a regular hexagon can tessellate the plane while a regular octagon cannot.

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Which shape(s) will tessellate the plane?


A) a regular octagon
B) a regular triangle
C) an obtuse scalene triangle
D) a regular dodecagon
E)
Which shape(s)  will tessellate the plane? A)  a regular octagon B)  a regular triangle C)  an obtuse scalene triangle D)  a regular dodecagon E)

F) B) and D)
G) None of the above

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B, C, E

State whether each of the following shapes can tessellate the plane. A) a regular pentagon B) a regular hexagon C) State whether each of the following shapes can tessellate the plane. A) a regular pentagon B) a regular hexagon  C)    D)   D) State whether each of the following shapes can tessellate the plane. A) a regular pentagon B) a regular hexagon  C)    D)

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A) no B) yes C) yes D) yes

Given the following figure, show how to tessellate the plane. Explain how you would know without being able to measure whether it tessellates. Use at least 10 copies, not all in a row. Given the following figure, show how to tessellate the plane. Explain how you would know without being able to measure whether it tessellates. Use at least 10 copies, not all in a row.

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