In the diagram below, wha is the relationship between the number of rectangles and the perimeter of the figure they form.

The 4th table: (rectangles, perimeter) = (1, 16), (2, 20), (3, 24)

Explanation:

The sums of the numbers shown in each figure are 8, 10, 12. In each case, this sum is half the perimeter of the figure, so the perimeter values are 16, 20, 24.

Only the 4th table shows these values for perimeter.

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'.