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.

Question

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 an isosceles trapezoid onto itself, we can analyze its symmetrical properties.

An isosceles trapezoid has:

• Two identical non-parallel sides (legs).
• The two bases (top and bottom) are parallel.

This trapezoid has vertical symmetry along a line that bisects the two bases. Since the top and bottom bases are equal and the sides are equal due to the isosceles property, we can determine the degree of rotation.

1. Symmetry Points: The isosceles trapezoid can be rotated around its center.
2. Identical halves: The figure can be rotated 180 degrees, resulting in it appearing the same as it originally did.
3. Other Considerations: A rotation of 360 degrees also turns the trapezoid onto itself but is not the minimal rotation.

Therefore, the smallest degree of rotation that would turn the isosceles trapezoid onto itself is:

180 degrees.

So, the answer is:

A rotation of 180° would turn the figure onto itself.