Math Problem Statement
A=(-5,2) B=(-3,4) C=(-2,0)
Translate \( \triangle ABC \) according to the translation rule \( (x, y) \rightarrow (x + 4, y - 3) \). List the coordinates of the new triangle \( \triangle A'B'C' \).
Solution
To apply the translation to each point of , let's calculate the new coordinates:
-
Point :
-
Point :
-
Point :
The coordinates of the new triangle are:
Would you like to delve deeper into translation transformations or have any questions?
Here are five related questions to explore further:
- How does translating a figure affect its orientation and size?
- What are some real-world applications of geometric translations?
- How would the triangle’s position change with different translation vectors?
- Can you describe the transformation if we reversed the translation direction?
- What other transformations besides translation could be applied to ?
Tip: Visualizing transformations on a graph helps solidify understanding of coordinate changes.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Translation
Formulas
(x, y) → (x + a, y + b) for translation by vector (a, b)
Theorems
Translation transformation
Suitable Grade Level
Grades 6-8