Math Problem Statement
Solution
The problem involves a transformation of triangle into on the coordinate plane.
Given Points:
Transformation Analysis:
To identify the transformation, let's compare the positions of the original triangle and the image . Observing the transformation visually, it looks like the triangle has been reflected.
Transformation Identification:
- The triangle has been reflected across the x-axis to form .
Conclusion: The transformation statement is:
Do you want more details or have any questions?
Related Questions:
- What are the coordinates of , , and after the transformation?
- How can you determine a reflection over the y-axis instead of the x-axis?
- What would be the result if the triangle were rotated 90° about the origin?
- How do you verify a dilation transformation on a coordinate plane?
- What are the effects of translating a triangle 4 units left and 3 units up?
Tip:
To verify reflections, check if each point is equidistant from the axis of reflection and lies on the opposite side of that axis.
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Math Problem Analysis
Mathematical Concepts
Transformations
Reflections
Coordinate Geometry
Formulas
-
Theorems
Reflection Theorem
Suitable Grade Level
Grades 8-10
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