Reflection, Translation, and Rotation Worksheets - Free Printable

To solve the problem, we need to analyze each pair of figures and determine whether the movement from the first figure to the second figure is a translation, rotation, or reflection. Let's go through each pair step by step.

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Definitions:

1. Translation: The figure is moved in a straight line without any rotation or flipping.
2. Rotation: The figure is turned around a point (clockwise or counterclockwise).
3. Reflection: The figure is flipped over a line (like a mirror image).

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Analysis of Each Pair:

#### a.
- First Figure: A 2x2 grid with all squares filled.
- Second Figure: Same 2x2 grid with all squares filled.
- Movement: The figure has not changed its orientation or position; it is simply in a different location.
- Type of Movement: Translation

#### b.
- First Figure: A 2x2 grid with one square missing in the top-left corner.
- Second Figure: The same pattern but rotated 90 degrees clockwise.
- Movement: The figure has been rotated.
- Type of Movement: Rotation

#### c.
- First Figure: Two vertical squares stacked.
- Second Figure: Two horizontal squares side by side.
- Movement: The figure has been flipped horizontally.
- Type of Movement: Reflection

#### d.
- First Figure: A single square.
- Second Figure: The same single square in a different location.
- Movement: The figure has not changed its orientation; it is simply in a different location.
- Type of Movement: Translation

#### e.
- First Figure: A 2x2 grid with one square missing in the bottom-right corner.
- Second Figure: The same pattern but rotated 180 degrees.
- Movement: The figure has been rotated.
- Type of Movement: Rotation

#### f.
- First Figure: A 2x2 grid with one square missing in the top-left corner.
- Second Figure: The same pattern but reflected vertically.
- Movement: The figure has been flipped vertically.
- Type of Movement: Reflection

#### g.
- First Figure: A 2x2 grid with one square missing in the top-left corner.
- Second Figure: The same pattern but rotated 90 degrees clockwise.
- Movement: The figure has been rotated.
- Type of Movement: Rotation

#### h.
- First Figure: A 2x2 grid with one square missing in the bottom-right corner.
- Second Figure: The same pattern but reflected horizontally.
- Movement: The figure has been flipped horizontally.
- Type of Movement: Reflection

#### i.
- First Figure: A 2x2 grid with one square missing in the top-left corner.
- Second Figure: The same pattern but translated to a different location.
- Movement: The figure has not changed its orientation; it is simply in a different location.
- Type of Movement: Translation

#### j.
- First Figure: A 2x2 grid with one square missing in the top-left corner.
- Second Figure: The same pattern but rotated 90 degrees clockwise.
- Movement: The figure has been rotated.
- Type of Movement: Rotation

#### k.
- First Figure: A 2x2 grid with one square missing in the bottom-right corner.
- Second Figure: The same pattern but reflected vertically.
- Movement: The figure has been flipped vertically.
- Type of Movement: Reflection

#### l.
- First Figure: Two vertical squares stacked.
- Second Figure: Two vertical squares stacked in a different location.
- Movement: The figure has not changed its orientation; it is simply in a different location.
- Type of Movement: Translation

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Final Answers:

1. a: Translation
2. b: Rotation
3. c: Reflection
4. d: Translation
5. e: Rotation
6. f: Reflection
7. g: Rotation
8. h: Reflection
9. i: Translation
10. j: Rotation
11. k: Reflection
12. l: Translation

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Boxed Answer:

\[
\boxed{
\text{a: Translation, b: Rotation, c: Reflection, d: Translation, e: Rotation, f: Reflection, g: Rotation, h: Reflection, i: Translation, j: Rotation, k: Reflection, l: Translation}
}
\]