The problem asks to determine the minimum rotation in degrees that will carry the given figure onto itself, where all sides and vertices match up. The answer needs to be rounded to the nearest tenth if necessary. The figure appears to be a kite. Since there are 2 pairs of equal sides, with one line of symmetry, it has rotational symmetry of order 2.

1. Problem Description

The problem asks to determine the minimum rotation in degrees that will carry the given figure onto itself, where all sides and vertices match up. The answer needs to be rounded to the nearest tenth if necessary. The figure appears to be a kite. Since there are 2 pairs of equal sides, with one line of symmetry, it has rotational symmetry of order

2.

2. Solution Steps

The figure has 2-fold rotational symmetry. This means that after a rotation of $360/2 = 180$ degrees, the figure will map onto itself.

To find the minimum rotation, we divide 360 degrees by the order of rotational symmetry.

Since the order of rotational symmetry is 2, the minimum rotation is $360/2$.

3. Final Answer

$180.0$