Math Problem Statement

Solve this

Each diagram shows a shape being rotated from position A to position B. Describe each rotation fully.

Solution

Solution to Each Rotation:

First Diagram

  1. Shape A to B:
    • The shape has been rotated 90° clockwise.
    • Center of rotation: (0, 0).

Second Diagram

  1. Shape A to B:
    • The shape has been rotated 90° counterclockwise.
    • Center of rotation: (0, 0).

Third Diagram

  1. Shape A to B:
    • The shape has been rotated 180°.
    • Center of rotation: (0, 0).

Answers to Fill:

  • First Diagram:
    • Centre: (0, 0)
    • Angle: 90c
  • Second Diagram:
    • Centre: (0, 0)
    • Angle: 90a
  • Third Diagram:
    • Centre: (0, 0)
    • Angle: 180

Would you like detailed explanations on how I identified the rotation for each? Let me know if you have any questions.


Related Questions:

  1. How can you identify the center of rotation for shapes in different diagrams?
  2. What is the difference between clockwise and counterclockwise rotations?
  3. How can 180° rotations be verified geometrically on a grid?
  4. How do you test if the rotation is accurate without plotting it?
  5. What tools can you use to practice visualizing rotations?

Tip:

Always check the orientation of the shape after rotation to determine the correct angle and direction.

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Math Problem Analysis

Mathematical Concepts

Rotation
Geometry
Coordinate Grids

Formulas

Rotation of a point (x, y) around the origin using 90°, 180°, etc.

Theorems

Rotation preserves distances and orientation (for specified angles).

Suitable Grade Level

Grades 6-8