This is the logo for the Subaru car company. "Subaru" is the Japanese name for the cluster of stars known as the Pleiades in English (part of the constellation Taurus). "Subaru" also means "united" in Japanese - this expresses the idea that five companies merged to form Fuji Heavy Industries (FRI), the parent company of Subaru. So the star logo represents both a play on words and how FRI considers itself a united cluster of companies.

Describe any congruence transformations that are visible in this logo. 

Describe the transformation that has been performed in the diagram and express it using correct arrow notation. 

The photo shows a detail of the Serpent Bench in the Parc Guell, in Barcelona, in the Catalonia region of Spain. The bench winds around the park's perimeter and is covered in a mosaic of ceramic tiles. It was created by the artist Antoni Gaudi, who expressed his love of natural forms in his fantastical designs. Eusebi Guell, who commissioned the work, wan ted Gaudi to represent the connection between ancient Greek symbols, Christian symbols and symbols of Catalonia.

Is this design a tessellation? Explain why or why not.

This pattern is based on traditional Aztec print designs.

 Would you consider this a tessellation? Justify your response.

Plot the image of the shape with vertices $(-5,8), (3,-6)$ and $(-3,0)$ using the following translation:

$\left(x,y\right)\to \left(x+4,y-9\right)$

This pattern is based on traditional Aztec print designs.

  
Identify the original shapes and describe all the transformations you can see in the design.

Describe the transformation that have occurred in the diagram:

This is an example of a fractal design. In math, a fractal is an abstract object formed by a never-ending pattern repeated at increasingly small scales.

Could this shape be tessellated? Explain.

Plot the image of given shape on a Cartesian grid.

Translation $4$ units right and $4$ units down

Describe the transformation that have occurred in the diagram:

Plot the image of the shape with vertices $(-5,8), (3,-6)$ and $(-3,0)$ using the following translation:

$\left(x,y\right)\to \left(x-3,y+6\right)$

This is the logo for the Subaru car company. "Subaru" is the Japanese name for the cluster of stars known as the Pleiades in English (part of the constellation Taurus). "Subaru" also means "united" in Japanese - this expresses the idea that five companies merged to form Fuji Heavy Industries (FRI), the parent company of Subaru. So the star logo represents both a play on words and how FRI considers itself a united cluster of companies.

Describe any congruence transformations that are visible in this logo. 

Copy and complete the table below:

Plot the image of given shape on a Cartesian grid.

Translation $2$ units right and $3$ units up