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Hexaflexagon Exploration

Explore the fascinating world of hexaflexagons with this engaging worksheet, covering their construction, properties, and types.

Grade 8 Math GeometryHexaflexagons
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Includes

TextMultiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.5CCSS.MATH.CONTENT.8.G.A.2

Topics

hexaflexagongeometryorigamimathematicsgrade 8
8 sections · Free to use · Printable
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Hexaflexagon Exploration

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Date:

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Carefully read each question and provide your answers in the space provided. Some questions may require drawing or sketching.

Hexaflexagons are fascinating paper models that can be 'flexed' to reveal different faces. They are typically made from a strip of paper folded into a hexagonal shape. The most common type is the trihexaflexagon, which has three faces.

Here is a basic template for a trihexaflexagon. Imagine cutting this out and folding along the lines.

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1. What is the primary characteristic of a hexaflexagon?

a

It is a pyramid shape.

b

It can be flexed to reveal different faces.

c

It is always made of metal.

d

It has only one flat surface.

2. How many faces does a trihexaflexagon typically have?

a

One

b

Two

c

Three

d

Six

3. A hexaflexagon is typically constructed from a strip of  .

4. The process of revealing different faces on a hexaflexagon is called  .

5. Describe in your own words how you would 'flex' a trihexaflexagon to reveal a hidden face.

6. All hexaflexagons have exactly three faces.

T

True

F

False

7. What regular polygon is typically the primary visible shape of a hexaflexagon?

8. Draw a regular hexagon and label its sides and angles. Assume each side is 2cm.

2 cm2 cm2 cm2 cm120°120°