Geometry Worksheets | Transformations Worksheets - Free Printable

Problem Overview:

The task involves identifying whether each transformation of a shape is a translation, rotation, or reflection. The worksheet provides examples of these transformations at the top and asks you to classify each transformation in the subsequent problems.

Key Definitions:

1. Translation: Moving a shape without rotating or flipping it. Every point of the shape moves the same distance in the same direction.
2. Rotation: Turning a shape around a fixed point (center of rotation). The shape maintains its orientation but changes its position.
3. Reflection: Flipping a shape over a line (axis of reflection). The shape appears as a mirror image of itself.

Solution Approach:

We will analyze each problem step by step, comparing the original shape with the transformed shapes to determine the type of transformation.

---

Problem 1:

#### Original Shape:
```
*
***
```

#### Transformed Shapes:
1. ```
*
***
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
***
*
```
- This is a rotation because the shape has been rotated 90 degrees clockwise.
3. ```
*
***
```
- This is a reflection because the shape has been flipped horizontally.

#### Answer:
1. Translation
2. Rotation
3. Reflection

---

Problem 2:

#### Original Shape:
```
*
**
```

#### Transformed Shapes:
1. ```
*
**
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
**
*
```
- This is a reflection because the shape has been flipped vertically.
3. ```
*
**
```
- This is a translation because the shape has been moved to the right but remains unchanged in orientation.

#### Answer:
1. Translation
2. Reflection
3. Translation

---

Problem 3:

#### Original Shape:
```
*
***
```

#### Transformed Shapes:
1. ```
*
***
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
***
*
```
- This is a rotation because the shape has been rotated 90 degrees clockwise.
3. ```
*
***
```
- This is a reflection because the shape has been flipped horizontally.

#### Answer:
1. Translation
2. Rotation
3. Reflection

---

Problem 4:

#### Original Shape:
```
*
**
```

#### Transformed Shapes:
1. ```
*
**
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
**
*
```
- This is a reflection because the shape has been flipped vertically.
3. ```
*
**
```
- This is a translation because the shape has been moved to the right but remains unchanged in orientation.

#### Answer:
1. Translation
2. Reflection
3. Translation

---

Problem 5:

#### Original Shape:
```
*
***
```

#### Transformed Shapes:
1. ```
*
***
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
***
*
```
- This is a rotation because the shape has been rotated 90 degrees clockwise.
3. ```
*
***
```
- This is a reflection because the shape has been flipped horizontally.

#### Answer:
1. Translation
2. Rotation
3. Reflection

---

Problem 6:

#### Original Shape:
```
*
**
```

#### Transformed Shapes:
1. ```
*
**
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
**
*
```
- This is a reflection because the shape has been flipped vertically.
3. ```
*
**
```
- This is a translation because the shape has been moved to the right but remains unchanged in orientation.

#### Answer:
1. Translation
2. Reflection
3. Translation

---

Problem 7:

#### Original Shape:
```
*
***
```

#### Transformed Shapes:
1. ```
*
***
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
***
*
```
- This is a rotation because the shape has been rotated 90 degrees clockwise.
3. ```
*
***
```
- This is a reflection because the shape has been flipped horizontally.

#### Answer:
1. Translation
2. Rotation
3. Reflection

---

Problem 8:

#### Original Shape:
```
*
**
```

#### Transformed Shapes:
1. ```
*
**
```
- This is a translation because the shape has been moved downward but remains unchanged in orientation.
2. ```
**
*
```
- This is a reflection because the shape has been flipped vertically.
3. ```
*
**
```
- This is a translation because the shape has been moved to the right but remains unchanged in orientation.

#### Answer:
1. Translation
2. Reflection
3. Translation

---

Final Answer:

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