Math Problem Statement

The six frames show a shape's different positions. Describe how the shape moves to get from its position in each frame to the next.

Solution

The six frames in this problem show a green shape that appears to change its orientation over time. Here’s how the shape moves from one frame to the next:

  1. From Frame 1 to Frame 2:
    The shape rotates 90° clockwise.

  2. From Frame 2 to Frame 3:
    The shape rotates another 90° clockwise so that it is now vertical with the pointed part facing upward.

  3. From Frame 3 to Frame 4:
    The shape rotates again 90° clockwise, making it appear upside down compared to its position in Frame 1.

  4. From Frame 4 to Frame 5:
    The shape rotates another 90° clockwise, bringing it back to a position similar to Frame 1 but flipped upside down.

  5. From Frame 5 to Frame 6:
    The shape rotates one more time, 90° clockwise, returning it to the same orientation as in Frame 1.

In summary, the shape undergoes continuous 90° clockwise rotations between frames.

Would you like further clarification on this or more details on rotational transformations?

Here are five related questions you could explore:

  1. What is the total angle of rotation from Frame 1 to Frame 6?
  2. How many 90° rotations would return the shape to its original position after Frame 1?
  3. How would the shape move if it were rotated counterclockwise instead?
  4. Can this type of movement be considered symmetrical? Why or why not?
  5. How does this type of rotational transformation differ from reflection?

Tip: Keep track of rotational movement using degrees or radians to better understand how shapes transform geometrically!

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Math Problem Analysis

Mathematical Concepts

Geometry
Rotational Symmetry

Formulas

Angle of rotation (90° increments)

Theorems

Rotational symmetry theorem

Suitable Grade Level

Grades 4-6