When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image ?

The side lengths remain the same, and the position of the figure changes.

Step-by-step explanation:

Translation is a rigid transformation. It means the size and shape of the figure remains same.

In translation, a figure shifted from one place to another, without any other changes.

After translation:

1. Corresponding side lengths remain the same.

2. Corresponding angles remain the same.

3. Image and pre-image are congruent.

Therefore, the conclusion is "The side lengths remain the same, and the position of the figure changes".

b

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.