Math Problem Statement
Solution
To determine the correct sequence of transformations that maps figure 1 onto figure 2, let's examine the position and orientation of each figure.
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Step 1: Translation
- Observing the two figures, we see that figure 1 needs to move to the right and down to reach the position of figure 2. Counting units:
- From figure 1’s initial position to align with figure 2, it needs a translation of 6 units to the right and 5 units down.
- Observing the two figures, we see that figure 1 needs to move to the right and down to reach the position of figure 2. Counting units:
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Step 2: Reflection (if needed)
- After the translation, figure 1 still does not match the orientation of figure 2. Figure 2 appears to be a mirror image of figure 1 across the x-axis, indicating that a reflection across the x-axis is necessary to match the orientation exactly.
Conclusion: The correct sequence of transformations is:
- A translation of 6 units right and 5 units down, followed by a reflection across the x-axis.
Therefore, the answer is:
Would you like further clarification on how to identify transformations from coordinates?
Here are 5 related questions:
- How do you determine if a figure has been reflected or rotated?
- What is the difference between a translation and a reflection in transformations?
- How can you determine the axis of reflection for any figure?
- What sequence of transformations preserves the orientation of a figure?
- How do you perform a translation on a coordinate grid?
Tip: Always apply transformations step-by-step to verify that each aligns with the intended final position and orientation!
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Math Problem Analysis
Mathematical Concepts
Geometry
Transformations
Translations
Reflections
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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