Asked by Ironmarshy14
Use the image to answer the question. Identify a sequence of rigid transformations that would map ABCD→A"B"C"D" . Give your answer in the form of a composition transformation mapping. (1 point) Responses (x,y)→(−x−4,y) left parenthesis x comma y right parenthesis right arrow left parenthesis negative x minus 4 comma y right parenthesis (x,y)→(x,y+4) left parenthesis x comma y right parenthesis right arrow left parenthesis x comma y plus 4 right parenthesis (x,y)→(x,−y−4) left parenthesis x comma y right parenthesis right arrow left parenthesis x comma minus y negative 4 right parenthesis (x,y)→(−x,y−4) left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma y minus 4 right parenthesis Skip to navigation page 14 of 14
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the sequence of rigid transformations that maps \( ABCD \) to \( A"B"C"D" \), we need to analyze the types of transformations:
1. **Reflection**: This transformation flips the shape over a line.
2. **Translation**: This shifts the shape without changing its orientation.
3. **Rotation**: This turns the shape around a point by a certain angle.
Without the image, I can guide you through the thought process:
1. **Reflection**: Check if there is a reflection across either the x-axis, y-axis, or some line that might map A to A" (similarly for B, C, D).
2. **Translation**: If the shape is the same, but in a different position, this requires shifting it by specific amounts horizontally or vertically.
3. **Combination**: Sometimes, a combination of transformations, like reflecting followed by translating, might be necessary.
Given the options you provided, analyze each transformation's effect on the points:
- **(x,y) → (−x−4,y)**: This performs a reflection across the y-axis and then translates left by 4.
- **(x,y) → (x,y+4)**: This just translates up by 4.
- **(x,y) → (x,−y−4)**: This reflects across the x-axis and translates down by 4.
- **(x,y) → (−x,y−4)**: This reflects across the y-axis and translates down by 4.
Select the option that matches the transformation from \( ABCD \) to \( A"B"C"D" \). Look for evidence of vertical/horizontal shifts and whether reflection occurred.
If you can provide more details or context from the image, I would be able to help identify the specific transformation more precisely.
1. **Reflection**: This transformation flips the shape over a line.
2. **Translation**: This shifts the shape without changing its orientation.
3. **Rotation**: This turns the shape around a point by a certain angle.
Without the image, I can guide you through the thought process:
1. **Reflection**: Check if there is a reflection across either the x-axis, y-axis, or some line that might map A to A" (similarly for B, C, D).
2. **Translation**: If the shape is the same, but in a different position, this requires shifting it by specific amounts horizontally or vertically.
3. **Combination**: Sometimes, a combination of transformations, like reflecting followed by translating, might be necessary.
Given the options you provided, analyze each transformation's effect on the points:
- **(x,y) → (−x−4,y)**: This performs a reflection across the y-axis and then translates left by 4.
- **(x,y) → (x,y+4)**: This just translates up by 4.
- **(x,y) → (x,−y−4)**: This reflects across the x-axis and translates down by 4.
- **(x,y) → (−x,y−4)**: This reflects across the y-axis and translates down by 4.
Select the option that matches the transformation from \( ABCD \) to \( A"B"C"D" \). Look for evidence of vertical/horizontal shifts and whether reflection occurred.
If you can provide more details or context from the image, I would be able to help identify the specific transformation more precisely.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.