Math Problem Statement
Solution
The problem asks to describe the transformation of triangle to triangle . Based on the image provided:
- The transformation appears to be a translation. We can verify this by comparing the coordinates of corresponding points.
- moves to , moves to , and remains stationary. Looking at the grid, the points and seem to shift to the right.
To confirm the translation, let's analyze the movement of points:
- Point moves from to , which means it moves 2 units to the right.
- Point moves from to , also moving 2 units to the right.
So, the transformation is a translation 2 units to the right.
Would you like further clarification, or do you have any questions about this solution?
Here are 5 related questions:
- How can you verify a translation using vector notation?
- What other types of transformations could be applied to a triangle?
- How would the transformation change if point had also moved?
- Can you describe the properties of a shape that remain unchanged after a translation?
- How do you find the equation of a line passing through two points on a grid?
Tip: When describing a translation, always check if all points move by the same distance and direction to ensure it is not a different transformation, such as a reflection or rotation.
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Math Problem Analysis
Mathematical Concepts
Translation
Coordinate Geometry
Formulas
Translation Formula: (x, y) → (x + a, y + b)
Theorems
Translation Theorem: All points of a figure move the same distance in the same direction.
Suitable Grade Level
Grades 7-9
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