Math Problem Statement

How many degrees is the following image being rotated?

Solution

The image shows a rotation of a geometric figure. To determine the angle of rotation, I will compare the original and the rotated figures. The black figure appears to be the original, and the blue figure is the rotated version.

The key to finding the degree of rotation is observing how the points change. For instance:

  • Point H is the center of rotation since it remains fixed.
  • If you track the rotation of points like J or I, you can see the change in their orientation.

From the positioning, it seems that the rotation is 90 degrees clockwise. This is because the new positions of the points align with what we expect from a 90-degree clockwise rotation around point H.

Answer: The image is rotated by 90 degrees clockwise.

Would you like a deeper explanation or have further questions about this?

Here are five related questions you might find helpful:

  1. How do you find the center of rotation in a geometric transformation?
  2. What are the key characteristics of a 90-degree clockwise rotation?
  3. How does a 180-degree rotation differ from a 90-degree rotation?
  4. Can you perform a 270-degree counterclockwise rotation and still get the same result as a 90-degree clockwise one?
  5. What transformations, besides rotation, can preserve the shape of a figure?

Tip: When determining rotation, always focus on the orientation and distance of key points relative to the center of rotation!

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Math Problem Analysis

Mathematical Concepts

Rotation
Geometric Transformations

Formulas

Rotation matrix for 90 degrees clockwise

Theorems

Rotation Theorem

Suitable Grade Level

Grades 7-10