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Answer:To determine which of the seven figures cannot form a polygon when connected, it's important to consider the basic definition of a polygon. A polygon is a closed figure with straight sides.
Here’s a brief rundown of common types of figures and their ability to form a polygon:
Triangle - A three-sided polygon.
Quadrilateral - A four-sided polygon.
Pentagon - A five-sided polygon.
Hexagon - A six-sided polygon.
Heptagon - A seven-sided polygon.
Octagon - An eight-sided polygon.
Nonagon - A nine-sided polygon.
Step-by-step explanation:If any of these figures are mentioned as being connected but not forming a polygon, it could mean that:
The sides do not connect properly to form a closed figure.
The sides are not straight lines.
However, if the figures are simple shapes like those mentioned (triangle, quadrilateral, etc.), they all can form polygons by definition, provided the sides are connected correctly.
If you have a specific list of seven figures in question, such as a mix of shapes or irregular figures, please provide those details for a more accurate assessment.