Math Problem Statement

Identify the movements between the frames in the sequence of movements for a shape.

Solution

The sequence of movements for the shape in the four frames shows rotations at different angles:

  1. Frame 1 to Frame 2: The shape rotates 90° clockwise. Notice how the pointed tip of the shape moves from the upper right direction to the lower right.

  2. Frame 2 to Frame 3: The shape rotates another 90° clockwise. The pointed tip moves from the lower right direction to the lower left.

  3. Frame 3 to Frame 4: The shape rotates 90° clockwise once again, bringing the pointed tip from the lower left to the upper left.

The movement between each frame is a consistent 90° clockwise rotation.

Would you like further details or explanations?

Here are some relative questions:

  1. What is the total rotation of the shape from Frame 1 to Frame 4?
  2. Can this sequence be considered a cyclic motion? Why or why not?
  3. How would the pattern change if each rotation was 180° instead of 90°?
  4. What kind of symmetry does the shape have after these transformations?
  5. How would the shape look after a 45° rotation instead of 90°?

Tip: Always look for patterns like symmetry and rotation to understand geometric transformations.

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Math Problem Analysis

Mathematical Concepts

Geometric Transformations
Rotations

Formulas

Rotation of a shape by 90 degrees clockwise

Theorems

Rotation theorem

Suitable Grade Level

Grades 5-7