Math Problem Statement
Solution
To describe the transformation sequence that maps quadrilateral RSTU to VXYZ, let's analyze the situation based on the image provided.
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Reflection Across the Axes: Looking at the positions of quadrilaterals RSTU and VXYZ, we can identify that RSTU has been reflected across the y-axis, as its reflection results in a mirrored shape in the opposite direction.
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Translation: After reflection, the shape undergoes a translation, moving a certain number of units either up or down. By inspecting the graph, it appears that the translation has occurred downward by 4 units.
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Dilation: Lastly, there is a dilation with the center at (0, 0), which means the shape has been scaled by a certain factor. By looking at the size difference between RSTU and VXYZ, we can infer that the dilation involves a scale factor of 2, as the larger shape appears twice the size of the original.
So, the correct sequence is:
- Reflection across the y-axis
- Translation 4 units down
- Dilation with center (0, 0) and scale factor 2
Thus, the correct answer is C.
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Math Problem Analysis
Mathematical Concepts
Transformations
Reflections
Translations
Dilations
Similarity
Formulas
Dilation formula: (x, y) -> (kx, ky)
Theorems
Properties of Similar Figures
Rigid Motion Theorem
Suitable Grade Level
Grades 8-10
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