Question
original points moved 4 points left and 2 points down does that make the new points translation or congruent to the original point
Answers
GPT-4o mini
When a point is moved 4 units to the left and 2 units down, it undergoes a translation. A translation is a type of transformation that shifts every point in a figure or a shape by the same distance in a specified direction, without changing the shape, size, or orientation of the figure.
In this case, if you take an original point (x, y) and translate it 4 units left and 2 units down, the new coordinates will be:
\[
(x - 4, y - 2)
\]
The new points maintain the same relative distances and angles to each other as the original points, meaning the shape is congruent to the original. However, the specific points themselves are not the same; they have been translated.
In summary:
- The transformation is a translation.
- The new points are congruent to the original points since a translation preserves distances and angles.
In this case, if you take an original point (x, y) and translate it 4 units left and 2 units down, the new coordinates will be:
\[
(x - 4, y - 2)
\]
The new points maintain the same relative distances and angles to each other as the original points, meaning the shape is congruent to the original. However, the specific points themselves are not the same; they have been translated.
In summary:
- The transformation is a translation.
- The new points are congruent to the original points since a translation preserves distances and angles.