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It is a question of definition.

In general language the word quadrilateral has different meanings.

In general it is good to discern 3 options:

1. a figure consisting of 4 points is often called (complete) quadrangle,

2. a figure consisting of 4 lines is often called (complete) quadrilateral,

3. a figure consisting of 4 points consecutively and cyclically connected by 4 lines is best called tetragon or quadrigon.

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Q: Do connecting 4 points yield a quadrilateral?
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