Transformation Worksheets - Reflection, Translation, Rotation - Free Printable

To determine the type of transformation displayed in each graph, we need to analyze the changes in the position, orientation, and size of the shapes. The transformations can be one of the following:

1. Translation: The shape is moved in a specific direction without any rotation or resizing.
2. Reflection: The shape is flipped over a line (axis of reflection).
3. Rotation: The shape is turned around a point.
4. Dilation: The shape is resized (enlarged or reduced) with respect to a center point.

Let's analyze each graph step by step:

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Graph 1:

- Original shape: Triangle \( \triangle ABC \)
- Transformed shape: Triangle \( \triangle A'B'C' \)
- Analysis:
- The triangle has been moved upward and to the right.
- There is no change in orientation or size.
- Transformation: Translation

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Graph 2:

- Original shape: Quadrilateral \( MNOO' \)
- Transformed shape: Quadrilateral \( M'N'O'O'' \)
- Analysis:
- The quadrilateral has been reflected over the vertical axis.
- Each point on the original shape has a corresponding point equidistant from the vertical axis.
- Transformation: Reflection

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Graph 3:

- Original shape: Line segment \( PQ \)
- Transformed shape: Line segment \( P'Q' \)
- Analysis:
- The line segment has been rotated counterclockwise around the origin.
- The orientation of the line segment has changed.
- Transformation: Rotation

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Graph 4:

- Original shape: Quadrilateral \( ABCD \)
- Transformed shape: Quadrilateral \( A'B'C'D' \)
- Analysis:
- The quadrilateral has been translated downward and to the left.
- There is no change in orientation or size.
- Transformation: Translation

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Graph 5:

- Original shape: Triangle \( DDE \)
- Transformed shape: Triangle \( D'E'E' \)
- Analysis:
- The triangle has been reflected over the vertical axis.
- Each point on the original shape has a corresponding point equidistant from the vertical axis.
- Transformation: Reflection

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Graph 6:

- Original shape: Triangle \( JKL \)
- Transformed shape: Triangle \( J'K'L' \)
- Analysis:
- The triangle has been rotated clockwise around the origin.
- The orientation of the triangle has changed.
- Transformation: Rotation

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Graph 7:

- Original shape: Triangle \( ABC \)
- Transformed shape: Triangle \( A'B'C' \)
- Analysis:
- The triangle has been reflected over the horizontal axis.
- Each point on the original shape has a corresponding point equidistant from the horizontal axis.
- Transformation: Reflection

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Graph 8:

- Original shape: Trapezoid \( GHIJ \)
- Transformed shape: Trapezoid \( G'H'I'J' \)
- Analysis:
- The trapezoid has been translated downward.
- There is no change in orientation or size.
- Transformation: Translation

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Graph 9:

- Original shape: Quadrilateral \( MNOP \)
- Transformed shape: Quadrilateral \( M'N'O'P' \)
- Analysis:
- The quadrilateral has been reflected over the vertical axis.
- Each point on the original shape has a corresponding point equidistant from the vertical axis.
- Transformation: Reflection

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Final Answer:

\[
\boxed{
\begin{array}{ccc}
1. & \text{Translation} & \\
2. & \text{Reflection} & \\
3. & \text{Rotation} & \\
4. & \text{Translation} & \\
5. & \text{Reflection} & \\
6. & \text{Rotation} & \\
7. & \text{Reflection} & \\
8. & \text{Translation} & \\
9. & \text{Reflection} & \\
\end{array}
}
\]