what is the right anwser

Question

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.
Incorrect

Answer 1

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

An isosceles trapezoid has two pairs of equal angles and is symmetric about its vertical axis. This means it can be rotated by a certain angle and still look identical to its original position.

The angles of rotation that would map the trapezoid onto itself are based on the number of symmetrical positions it can take up.

For an isosceles trapezoid, the useful degrees of rotation are:

1. 180 degrees - flipping it upside down.
2. And in some cases, if you consider the rotations around the center, it can also be symmetric at 360 degrees, but this doesn't count as a unique rotation since it returns the trapezoid to its original position.

Thus, the best answer is:

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

Make sure to confirm that this aligns with what is presented in the image mentioned in your question! If 180 degrees is not an option you were considering, please let me know what options you have, and I can assist you further!