Construct a kaleidoscope.

In the question shape $X$ is transformed to shape $Y$. Describe the transformation mathematically.

Mention the name of a phenomenon which takes places when patterns are formed in a kaleidoscope.

In the question shape $X$ is transformed to shape $Y$. Fill in the missing words in the description of the transformation.

A _____ squares_____ and _____ squares _____.

Write the quadrants in which the following points lie:

$\left(-4,7\right)$

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.