Use the image to answer the question.An isosceles trapezoid's top and bottom sides are marked by arrows. Its left and right sides are marked by 3 tick marks. The top base's angles are marked by 2 arcs. The bottom base's angles are marked by singular arcs.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 the isosceles trapezoid onto itself, we need to consider the symmetry of the shape. An isosceles trapezoid has one line of symmetry that runs vertically through the center, and it can be rotated in increments based on its vertices.

The isosceles trapezoid has:

• 2 pairs of equal angles (one on the top and one on the bottom).
• It is symmetric about the vertical line through the midpoints of the bases.

The key degrees of rotation for a figure that is symmetric around a central point are:

• A rotation of 180 degrees will map the trapezoid onto itself because the left and right sides will switch positions but still look the same.
• A rotation of 360 degrees will also map the trapezoid onto itself (but this is a full turn, which is not typically considered for finding the smallest rotation).

Therefore, the smallest degree of rotation that would turn the isosceles trapezoid onto itself is 180 degrees.