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Tessellation2

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is a regular tessellation?

a)

A regular tessellation is a 3D shape

b)

A regular tessellation is a tiling of the plane with only one type of irregular polygon

c)

A regular tessellation is a type of irregular polygon

d)

A regular tessellation is a tiling of the plane with one or more types of regular polygons.

2.

Identify the regular tessellation among the following: a) Triangle b) Square c) Pentagon

a)

Square

b)

Pentagon

c)

Hexagon

d)

Triangle

3.

Explain the concept of non-regular tessellations.

a)

Non-regular tessellations are patterns formed by shapes that are not symmetrical.

b)

Non-regular tessellations are patterns formed by shapes that are not regular polygons.

c)

Non-regular tessellations are patterns formed by shapes that are not congruent.

d)

Non-regular tessellations are patterns formed by shapes that are not equilateral.

4.

Provide an example of a non-regular tessellation.

a)

Combination of triangles and diamonds

b)

Combination of circles and hexagons

c)

Combination of squares and triangles

d)

Combination of pentagons and octagons

5.

How many types of regular tessellations are there?

a)

5

b)

3

c)

6

d)

4

6.

What are the three types of non-regular tessellations?

a)

Ordered tessellations, patterned tessellations, and structured tessellations

b)

Symmetric tessellations, disordered tessellations, and irregular tessellations

c)

Aperiodic tessellations, semi-regular tessellations, and demi-regular tessellations

d)

Regular tessellations, chaotic tessellations, and random tessellations

7.

Which shape cannot create a regular tessellation?

a)

Shape with only acute angles

b)

Shape with an interior angle that is not a divisor of 360 degrees

c)

Shape with all sides of different lengths

d)

Shape with an odd number of sides

8.

Describe the process of creating a regular tessellation.

a)

Use irregular polygons and arrange them haphazardly

b)

Start with a regular polygon as the base shape and replicate it by translating, rotating, and reflecting to cover the plane without gaps or overlaps.

c)

Begin with a circle and expand it randomly across the plane

d)

Start with a random shape and repeat it without any pattern

9.

Why are regular tessellations important in mathematics?

a)

Regular tessellations are important in mathematics because they demonstrate symmetry, help understand geometric concepts, and have practical applications in art and design.

b)

Regular tessellations are important in mathematics because they are only used in advanced calculus.

c)

Regular tessellations are important in mathematics because they have no real-world applications.

d)

Regular tessellations are important in mathematics because they are unpredictable and chaotic.

10.

Can a tessellation have curved shapes? Explain.

a)

Yes

b)

No

c)

Only on odd-numbered days

d)

Sometimes