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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.
Remaining Attempts : 3
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Answer 1

To determine the degree of rotation that would turn an isosceles trapezoid onto itself, we need to consider the symmetry of the figure.

An isosceles trapezoid has:

• Two sides of equal length (the legs) and two bases (the top and bottom edges) that are parallel.
• The angles at each base are equal.

An isosceles trapezoid exhibits rotational symmetry:

1. It can be rotated 180 degrees about the center of the figure, which would map the top base to the bottom base and vice versa while maintaining the overall shape.
2. There is no smaller angle of rotation (like 90 degrees) that would map it onto itself because the angles do not match.

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

Thus, the answer is:

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