in a translation, how can you use the relationship between some points and their images to find the images of other points?
Please post the specific problem(s), so we can help you.
Thanks for asking.
that was the my question
In a translation, you can use the relationship between some points and their images to find the images of other points by considering two important factors: the direction and magnitude of the translation.
First, identify the coordinates of the points and their corresponding images that you know. Let's say we have a point with coordinates (x, y) and its image, after the translation, has coordinates (x', y').
To find the image of another point, you need to determine the translation vector, which represents the direction and magnitude of the translation. You can calculate this vector by subtracting the coordinates of the known point from the coordinates of its image:
Translation vector = (x' - x, y' - y)
Next, apply this translation vector to the coordinates of the point whose image you want to find. Take the coordinates of the point (a, b) and add them with the translation vector:
Image of (a, b) = (a + x' - x, b + y' - y)
This will give you the coordinates of the image of the point (a, b) after the translation.
Remember, a translation moves each point in a fixed direction without changing its shape or size, so the relationship between the points and their images remains consistent throughout the translation.