Math Problem Statement

Which rotation performed on a figure will result in a figure that would not change its location on the coordinate plane?

Solution

The question asks, "Which rotation performed on a figure will result in a figure that would not change its location on the coordinate plane?"

The options are:

  • a) Rotation 180 degrees counterclockwise
  • b) Rotation 360 degrees counterclockwise
  • c) Rotation 270 degrees counterclockwise
  • d) Rotation 90 degrees counterclockwise

Correct answer: b) Rotation 360 degrees counterclockwise

Explanation: A rotation of 360 degrees brings the figure back to its original position, as a full rotation completes a circle. Therefore, the figure does not change its location on the coordinate plane after a 360-degree rotation.

Would you like more details or have any further questions?

Here are 5 related questions to expand on this concept:

  1. What happens to a figure's position after a 90-degree rotation counterclockwise?
  2. How does a 180-degree rotation affect a figure on a coordinate plane?
  3. Can a 270-degree counterclockwise rotation be equivalent to a clockwise rotation? If so, by how much?
  4. Why does a 360-degree rotation return the figure to its original location?
  5. How can you determine the coordinates of a figure after any degree of rotation?

Tip: Always remember, rotations are about moving around a center point, and the degree of rotation determines how far the object moves from its original position.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Rotational Symmetry

Formulas

-

Theorems

Rotation Theorem

Suitable Grade Level

Grades 6-8