This worksheet challenges students to identify and describe single transformations, such as rotations and reflections, that map shape A onto shape B.
Math worksheet with 9 problems asking students to describe rotations and reflections on a coordinate plane mapping shape A to shape B.
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Step-by-step solution for: Rotations and Reflections on the Coordinate Plane Worksheet | Fun ...
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Show Answer Key & Explanations
Step-by-step solution for: Rotations and Reflections on the Coordinate Plane Worksheet | Fun ...
To solve the problem of describing the single transformation that maps shape \( A \) onto shape \( B \), we need to analyze each pair of shapes and determine whether the transformation is a rotation, reflection, or translation. Let's go through each problem step by step.
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- Shape \( A \): Located in the second quadrant.
- Shape \( B \): Located in the first quadrant.
- Observation: Shape \( B \) is a mirror image of shape \( A \) across the y-axis.
- Transformation: Reflection across the y-axis.
Answer: Reflection across the y-axis.
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- Shape \( A \): Located in the third quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 90° counterclockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° counterclockwise about the origin.
Answer: Rotation 90° counterclockwise about the origin.
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- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the line \( y = -x \).
- Transformation: Reflection across the line \( y = -x \).
Answer: Reflection across the line \( y = -x \).
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- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the third quadrant.
- Observation: Shape \( B \) is a translation of shape \( A \) 5 units left and 6 units up.
- Transformation: Translation 5 units left and 6 units up.
Answer: Translation 5 units left and 6 units up.
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- Shape \( A \): Located in the second quadrant.
- Shape \( B \): Located in the third quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the x-axis.
- Transformation: Reflection across the x-axis.
Answer: Reflection across the x-axis.
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- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 180° rotation of shape \( A \) around the origin.
- Transformation: Rotation 180° about the origin.
Answer: Rotation 180° about the origin.
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- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 90° clockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° clockwise about the origin.
Answer: Rotation 90° clockwise about the origin.
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- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the y-axis.
- Transformation: Reflection across the y-axis.
Answer: Reflection across the y-axis.
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- Shape \( A \): Located in the first quadrant.
- Shape \( B \): Located in the fourth quadrant.
- Observation: Shape \( B \) is a 90° clockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° clockwise about the origin.
Answer: Rotation 90° clockwise about the origin.
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1. Reflection across the y-axis.
2. Rotation 90° counterclockwise about the origin.
3. Reflection across the line \( y = -x \).
4. Translation 5 units left and 6 units up.
5. Reflection across the x-axis.
6. Rotation 180° about the origin.
7. Rotation 90° clockwise about the origin.
8. Reflection across the y-axis.
9. Rotation 90° clockwise about the origin.
\[
\boxed{
\begin{array}{l}
1. \text{Reflection across the y-axis.} \\
2. \text{Rotation 90° counterclockwise about the origin.} \\
3. \text{Reflection across the line } y = -x. \\
4. \text{Translation 5 units left and 6 units up.} \\
5. \text{Reflection across the x-axis.} \\
6. \text{Rotation 180° about the origin.} \\
7. \text{Rotation 90° clockwise about the origin.} \\
8. \text{Reflection across the y-axis.} \\
9. \text{Rotation 90° clockwise about the origin.}
\end{array}
}
\]
---
1)
- Shape \( A \): Located in the second quadrant.
- Shape \( B \): Located in the first quadrant.
- Observation: Shape \( B \) is a mirror image of shape \( A \) across the y-axis.
- Transformation: Reflection across the y-axis.
Answer: Reflection across the y-axis.
---
2)
- Shape \( A \): Located in the third quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 90° counterclockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° counterclockwise about the origin.
Answer: Rotation 90° counterclockwise about the origin.
---
3)
- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the line \( y = -x \).
- Transformation: Reflection across the line \( y = -x \).
Answer: Reflection across the line \( y = -x \).
---
4)
- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the third quadrant.
- Observation: Shape \( B \) is a translation of shape \( A \) 5 units left and 6 units up.
- Transformation: Translation 5 units left and 6 units up.
Answer: Translation 5 units left and 6 units up.
---
5)
- Shape \( A \): Located in the second quadrant.
- Shape \( B \): Located in the third quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the x-axis.
- Transformation: Reflection across the x-axis.
Answer: Reflection across the x-axis.
---
6)
- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 180° rotation of shape \( A \) around the origin.
- Transformation: Rotation 180° about the origin.
Answer: Rotation 180° about the origin.
---
7)
- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a 90° clockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° clockwise about the origin.
Answer: Rotation 90° clockwise about the origin.
---
8)
- Shape \( A \): Located in the fourth quadrant.
- Shape \( B \): Located in the second quadrant.
- Observation: Shape \( B \) is a reflection of shape \( A \) across the y-axis.
- Transformation: Reflection across the y-axis.
Answer: Reflection across the y-axis.
---
9)
- Shape \( A \): Located in the first quadrant.
- Shape \( B \): Located in the fourth quadrant.
- Observation: Shape \( B \) is a 90° clockwise rotation of shape \( A \) around the origin.
- Transformation: Rotation 90° clockwise about the origin.
Answer: Rotation 90° clockwise about the origin.
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Final Answers
1. Reflection across the y-axis.
2. Rotation 90° counterclockwise about the origin.
3. Reflection across the line \( y = -x \).
4. Translation 5 units left and 6 units up.
5. Reflection across the x-axis.
6. Rotation 180° about the origin.
7. Rotation 90° clockwise about the origin.
8. Reflection across the y-axis.
9. Rotation 90° clockwise about the origin.
\[
\boxed{
\begin{array}{l}
1. \text{Reflection across the y-axis.} \\
2. \text{Rotation 90° counterclockwise about the origin.} \\
3. \text{Reflection across the line } y = -x. \\
4. \text{Translation 5 units left and 6 units up.} \\
5. \text{Reflection across the x-axis.} \\
6. \text{Rotation 180° about the origin.} \\
7. \text{Rotation 90° clockwise about the origin.} \\
8. \text{Reflection across the y-axis.} \\
9. \text{Rotation 90° clockwise about the origin.}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of rotation transformation worksheet.
