Drawing Transformations worksheet with instructions to redraw figures to complete transformations.
Worksheet with grid lines showing geometric transformations including rotation, translation, and reflection of shapes.
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Show Answer Key & Explanations
Step-by-step solution for: Translations- Rotation, Reflection, and Translation
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Show Answer Key & Explanations
Step-by-step solution for: Translations- Rotation, Reflection, and Translation
The task involves completing geometric transformations of given figures. The transformations include Rotation, Translation, Reflection, and Rotation again. Below, I will explain each transformation step-by-step and provide the solution for each.
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- Given Figure: A triangle.
- Transformation: Rotate the figure 90° clockwise or counterclockwise (as specified in the instructions).
- Solution: Rotate the triangle 90° clockwise around its bottom-left vertex. The new orientation should have the hypotenuse vertical and the right angle at the top-right corner.
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- Given Figure: A rectangle with an arrow.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the rectangle and arrow to a new location on the grid while maintaining its orientation. For example, move it 3 units right and 2 units up.
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- Given Figure: A horizontal line segment.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the line segment. Reflect the segment across this line to create a mirror image.
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- Given Figure: A parallelogram.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the parallelogram to a new location on the grid while maintaining its orientation. For example, move it 4 units left and 1 unit down.
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- Given Figure: An L-shaped figure.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the L-shaped figure to a new location on the grid while maintaining its orientation. For example, move it 2 units right and 3 units down.
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- Given Figure: A trapezoid.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the trapezoid. Reflect the trapezoid across this line to create a mirror image.
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- Given Figure: A triangle.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the triangle. Reflect the triangle across this line to create a mirror image.
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- Given Figure: A rectangle.
- Transformation: Rotate the figure 90° clockwise or counterclockwise.
- Solution: Rotate the rectangle 90° clockwise around its bottom-left vertex. The new orientation should have the rectangle standing vertically.
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Here is the completed set of transformations:
1. Rotation: Rotate the triangle 90° clockwise.
2. Translation: Move the rectangle and arrow 3 units right and 2 units up.
3. Reflection: Reflect the horizontal line segment across a vertical axis.
4. Translation: Move the parallelogram 4 units left and 1 unit down.
5. Translation: Move the L-shaped figure 2 units right and 3 units down.
6. Reflection: Reflect the trapezoid across a vertical axis.
7. Reflection: Reflect the triangle across a vertical axis.
8. Rotation: Rotate the rectangle 90° clockwise.
\boxed{\text{See explanations above for detailed steps.}}
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1. Rotation
- Given Figure: A triangle.
- Transformation: Rotate the figure 90° clockwise or counterclockwise (as specified in the instructions).
- Solution: Rotate the triangle 90° clockwise around its bottom-left vertex. The new orientation should have the hypotenuse vertical and the right angle at the top-right corner.
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2. Translation
- Given Figure: A rectangle with an arrow.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the rectangle and arrow to a new location on the grid while maintaining its orientation. For example, move it 3 units right and 2 units up.
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3. Reflection
- Given Figure: A horizontal line segment.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the line segment. Reflect the segment across this line to create a mirror image.
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4. Translation
- Given Figure: A parallelogram.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the parallelogram to a new location on the grid while maintaining its orientation. For example, move it 4 units left and 1 unit down.
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5. Translation
- Given Figure: An L-shaped figure.
- Transformation: Translate the figure to a new position without rotating it.
- Solution: Move the L-shaped figure to a new location on the grid while maintaining its orientation. For example, move it 2 units right and 3 units down.
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6. Reflection
- Given Figure: A trapezoid.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the trapezoid. Reflect the trapezoid across this line to create a mirror image.
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7. Reflection
- Given Figure: A triangle.
- Transformation: Reflect the figure across a vertical or horizontal axis.
- Solution: Draw a vertical line of symmetry through the center of the triangle. Reflect the triangle across this line to create a mirror image.
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8. Rotation
- Given Figure: A rectangle.
- Transformation: Rotate the figure 90° clockwise or counterclockwise.
- Solution: Rotate the rectangle 90° clockwise around its bottom-left vertex. The new orientation should have the rectangle standing vertically.
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Final Answer
Here is the completed set of transformations:
1. Rotation: Rotate the triangle 90° clockwise.
2. Translation: Move the rectangle and arrow 3 units right and 2 units up.
3. Reflection: Reflect the horizontal line segment across a vertical axis.
4. Translation: Move the parallelogram 4 units left and 1 unit down.
5. Translation: Move the L-shaped figure 2 units right and 3 units down.
6. Reflection: Reflect the trapezoid across a vertical axis.
7. Reflection: Reflect the triangle across a vertical axis.
8. Rotation: Rotate the rectangle 90° clockwise.
\boxed{\text{See explanations above for detailed steps.}}
Parent Tip: Review the logic above to help your child master the concept of reflection rotation translation worksheet.
