Question
What is an example of a geometric transformation?
Answers
GPT-4o mini
An example of a geometric transformation is a **translation**.
In a translation, every point of a geometric figure is moved a certain distance in a specified direction. For instance, if you have a triangle with vertices at points A(1, 2), B(3, 4), and C(5, 2), and you want to translate it 3 units to the right and 2 units up, the new vertices would be:
- A' (4, 4)
- B' (6, 6)
- C' (8, 4)
This transformation preserves the shape and size of the triangle, but changes its position in the coordinate plane.
In a translation, every point of a geometric figure is moved a certain distance in a specified direction. For instance, if you have a triangle with vertices at points A(1, 2), B(3, 4), and C(5, 2), and you want to translate it 3 units to the right and 2 units up, the new vertices would be:
- A' (4, 4)
- B' (6, 6)
- C' (8, 4)
This transformation preserves the shape and size of the triangle, but changes its position in the coordinate plane.