A.) Which tiles are copies of tile 1? Explain.

B.) If you were to move tile 1 from the design, what actions would you have to do so it completely covers tile 2?

You want to identify the locations of the tiles that are translations or rotations of tile 1. You also want to know how to transform tile 1 to tile 2.

A.) Tile 1

Tile 1 can be described by the sequence of its angles. Working clockwise from the right angle, we have the largest obtuse angle, an acute angle, then successively smaller obtuse angles.

All of the tiles with this sequence of angles are colored blue.

The blue tiles are all copies of Tile 1.

B.) Tile 2

Tile 2 has the sequence of angles reversed. It is a reflection of Tile 1. The tiles marked 1 and 2 in the diagram are reflections of each other across their common edge.

Reflecting tile 1 across its bottom edge will make it completely cover tile 2.

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Additional comment

This is a problem in pattern recognition. It helps to pay attention to details, including their sequence and orientation.

(The white tiles are all copies of Tile 2.)