Tesselation with Regular Polygons

What is a tessellation?

• A tessellation is the tiling of a plane using one or more geometric shapes with no overlaps or gaps.

• A tessellation is a mathematical equation used to solve algebra problems

• A tessellation is a type of dance performed in a group

• A tessellation is the process of creating a sculpture using clay

How can regular polygons be used to create tessellations?

• Regular polygons can tessellate a plane because their interior angles add up to 360 degrees.

• Regular polygons tessellate a plane because their interior angles add up to 180 degrees.

• Regular polygons cannot tessellate a plane due to their uneven sides.

• Regular polygons tessellate a plane because their interior angles add up to 90 degrees.

Which regular polygon can perfectly tessellate a plane?

• hexagon

• pentagon

• octagon

• triangle

Can a regular hexagon tessellate a plane?

• Only on odd-numbered sides

• Sometimes

• Yes

• No

What is the interior angle of a regular pentagon?

• 90 degrees

• 120 degrees

• 135 degrees

• 108 degrees

How many sides does a regular octagon have?

• 8

• 6

• 12

• 10

Explain how to create a tessellation using regular triangles.

• Start with a square shape to create the tessellation

• Use irregular triangles to create the tessellation

• Start with an equilateral triangle and replicate it to cover the surface without gaps or overlaps.

• Overlap the triangles to create the tessellation

What is the sum of the interior angles of a regular hexagon?

• 720 degrees

• 540 degrees

• 620 degrees

• 800 degrees

Which regular polygon has an interior angle of 120 degrees?

• pentagon

• triangle

• hexagon

• octagon

Describe the process of creating a tessellation using regular squares.

• The process involves randomly placing squares on the plane.

• To make a tessellation with squares, you must rotate them at different angles.

• Creating a tessellation with squares requires using circles instead.

• The process involves replicating a square by translating it to cover the plane without gaps or overlaps.