Math Problem Statement
Solution
The question asks about the transformation of trapezoid , and the image shows two trapezoids on the coordinate plane. From the image, we can see that trapezoid is a transformed version of .
Here's an analysis of the transformation:
- The original trapezoid appears to be reflected downward.
- Each corresponding point of the trapezoid (e.g., to , to ) appears to be reflected across the -axis.
Thus, this is a reflection over the x-axis. The correct answer is B: reflection over the x-axis.
Would you like more details or further clarifications? Here are five related questions to explore the topic further:
- What is the general rule for reflecting a point over the x-axis?
- How would the coordinates of change if it were reflected over the y-axis?
- What are the coordinates of trapezoid and its reflection ?
- How do you distinguish between reflection over the origin and over an axis?
- Can you perform other transformations, such as rotations, to get the same image?
Tip: When reflecting a figure over the x-axis, each point's y-coordinate changes sign, but the x-coordinate remains the same.
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Math Problem Analysis
Mathematical Concepts
Geometry
Transformations
Reflections
Formulas
Reflection over the x-axis: (x, y) -> (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 8-10
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