Give an example, with justification, of each of the following:
i) a 2D figure which has reflection symmetry;
ii) a 2D figure with at least 30 lines of symmetry;
iii) a 2D figure with no rotational symmetry;
iv) a net of a wall-paper pattern;
v) a motif for a regular tessellation.
Oh, you've got yourself a little math quest! Let's dive into the world of shapes and symmetries.
i) 2D Figure with Reflection Symmetry:
- *Example:* The classic equilateral triangle.
- *Justification:* The beauty of this triangle lies in its simplicity. Draw a line from any vertex to the midpoint of the opposite side, and voila! It reflects perfectly. This holds true for all three sides.
ii) 2D Figure with ______ _______ ____ ______ _______.
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