Math Problem Statement
ΔBCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?
Solution
The question asks about reflecting the triangle across the x-axis. The point has the coordinates .
To reflect a point across the x-axis, the rule is that the x-coordinate remains the same, while the y-coordinate changes sign. Therefore, the reflection of across the x-axis will be .
Thus, the correct answer is:
B'(2, -3)
Would you like more details on how reflections work in geometry? Here are 5 related questions to explore:
- How do you reflect a point across the y-axis?
- What happens to a shape when it is reflected across both the x- and y-axis?
- Can you explain the reflection of an entire triangle across a line?
- What are some common rules for reflecting shapes across the origin?
- How do you find the distance between a point and its reflection?
Tip: When reflecting over the x-axis, always remember that only the y-coordinate changes sign!
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflections
Coordinate Systems
Formulas
Reflection across the x-axis: (x, y) -> (x, -y)
Theorems
Reflection Theorem in Geometry
Suitable Grade Level
Grades 6-8