Determine the degree of rotation that would turn the figure onto itself. (1 point) A rotation of ° would turn the figure onto itself.

Answer 1

To determine the degree of rotation that would turn a figure onto itself, we need to know the number of sides or angles of symmetry of the figure.

1. Regular Polygons: If the figure is a regular polygon (e.g., triangle, square, pentagon, etc.), the degree of rotation can be calculated using the formula \( \frac{360^\circ}{n} \), where \( n \) is the number of sides.

   • For example, a square (4 sides) can be rotated \( \frac{360^\circ}{4} = 90^\circ \) to return to its original position.
   • For an equilateral triangle (3 sides), it can be rotated \( \frac{360^\circ}{3} = 120^\circ \).

2. Different Figures: If the figure is not a regular polygon, you'd need to analyze its symmetry. Most figures will still have rotational symmetries that can often be calculated by identifying the number of equivalent positions the figure can be in when rotated.

Please provide the specific figure in question, or any details about it, so that I can help you find out the exact degree of rotation that would turn it onto itself.