Math Problem Statement
a(2,0)b(-1,5)c(4,3) translation along the vector (0,2)
Solution
To perform a translation of the points , , and along the vector , we simply add the vector to each of the points.
The translation vector means we add 0 to the x-coordinate and 2 to the y-coordinate of each point.
Let's calculate the new coordinates:
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Point A:
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Point B:
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Point C:
Translated points:
Would you like further details or have any questions?
Here are five related questions:
- How do you find the coordinates after a translation along a general vector?
- What is the geometric effect of translating along a vector?
- How would the result change if the translation vector was ?
- Can you perform a reflection after a translation?
- How do you compose multiple translations?
Tip: When translating points, keep track of both the horizontal and vertical components of the vector for accurate results.
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Math Problem Analysis
Mathematical Concepts
Geometry
Translations
Coordinate Geometry
Formulas
Translation Formula: (x', y') = (x + a, y + b)
Theorems
Vector Translation
Suitable Grade Level
Grades 6-8
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