Practice identifying translations, reflections, and rotations with this geometry worksheet.

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:

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