An architect is using software to design the interior of a rectangular room. on the floor plan, the coordinates of two consecutive corners of the room are (3, 15) and (18, 2). the architect wants to place a window in the center of the wall containing these two points. what will be the coordinates of the center of the window on the floor plan?

a.) (17, 21)
b.) (10.5, 8.5)
c.) (21, 17)
d.) (8.5, 10.5)

The answer is B.

Step-by-step explanation:

The architect wants to place a window in the center of the wall containing these two points: (3, 15) and (18, 2).

The coordinates of the center of the window are those of the mid-point betwween the two points: ( (3+18)/2, (15+2)/2 ) = (10.5, 8.5)

The answer is B.

idk

step-by-step explanation:

use that smart brain

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'.