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Worksheets

Tessellations

Total questions: 27

Worksheet time: 14mins

Name
Class
Date
1.
A tessellation is...
a)
a repeating pattern 
b)
a repeating pattern with no overlaps
c)
a repeating pattern with no gaps or overlaps
d)
a repeating pattern with no gaps
2.
Is this an example of a tessellation?
a)
Yes
b)
No
3.
This figure is a tessellation.
a)
True
b)
False
4.

Which of these images represents a tessellation?

a)
b)
c)
d)
5.
Is this an example of a tessellation?
a)
Yes
b)
No
6.

The three polygons that can make a regular tessellation are the triangle, the square and the ___________.

a)

pentagon

b)

hexagon

c)

octagon

d)

decagon

7.

It is a fact that any triangle and any quadrilateral can cover the plane.

a)

True

b)

False

8.

What shape makes up the tessellation in the image?

a)

Triangles

b)

Squares

c)

Hexagons

d)

Pentagons

9.

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

a)

True

b)

False

10.

Is this a semi-regular tessellation?

a)

Yes, it is.

b)

No, it is not.

11.

What shapes make up the tessellation in the image?

a)

Triangles and Squares

b)

Triangles and Rectangles

c)

Triangles and Triangles

d)

Triangles and Hexagons

12.

What type of tessellation is this?

a)

Regular

b)

Semi-regular

c)

Irregular

d)

Mutations

13.

What animal makes up the tessellation in the image?

a)

Birds

b)

Swans

c)

Flamingos

d)

Dogs

14.

To decide if given figures will tessellate, we first look at the shapes' _____________________.

a)

number of sides

b)

interior angles

c)

number of vertices

d)

size

15.

What character is in this tessellation?

a)

Daffy Duck

b)

Daisy Duck

c)

Donald Duck

d)

Bugs Duck

16.

This figure can always be used to tessellate, because its sum of internal angles is 360°.

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

17.
Would you classify this tessellation as regular, semiregular, or neither?
a)
regular
b)
semiregular
c)
neither
18.
Would the octagon and square tessellate?
a)
No; two octagons and one square would not meet at each vertex
b)
Yes; two octagons and one square meet at each vertex
135+135+90=360
c)
Yes; two octagons and one square meet at each vertex 130+130+100=360
d)
Yes; two octagons and one square meet at each vertex; 140+140+80=360
19.
Would the octagon and the equilateral triangle tessellate?
a)
Yes; two octagons and one triangle meet at each vertex; 150+150+60=360
b)
Yes; two octagons and one triangle meet at each vertex
135+135+60=360
c)
Yes; one octagon and two triangles meet at each vertex
135+60+60=360
d)
No; there is no combination of 135 and 60 that adds up to exactly 360
20.

Non-polygonal figures can also make tessellations.

a)

Yes, they can.

b)

No, they can't.

21.

Can this be considered a tessellation where figures were reflected?

a)

Yes, of course!

b)

Definitively not.

22.

Tessellations can be done with a combination of concave and convex irregular polygons.

a)

True

b)

False

23.

M.C. Escher was an artist that used rotation, reflection and translation to make art. Are these pieces considered tessellations?

a)

Yes, they fill the gaps with no overlaps.

b)

No, they have gaps and overlaps.

24.

This is an example of a tessellation made of mutated figures done by using ______________.

a)

Repeated

b)

Reflection

c)

Translation

d)

Rotation

25.

This is an example of a tessellation made with repeated, ___________ figures.

a)

Translated

b)

Rotated

c)

Reflected

d)

Refracted

26.

This is an example of a tessellation made with figures that were ______________.

a)

Reflected

b)

Refracted

c)

Translated

d)

Rotated

27.

Can you find tessellations in nature?

a)

Yes, I can find them in nature.

b)

No, I can not find them in nature.