Point a is located at (2, 6), and d is located at (−4, 10). find the coordinates of the point that lies halfway between a and d. (5 points) (−1, 8) (3, 2) (−2, 7) (−3, 4)

Option A- (-1,8)    

Step-by-step explanation:

Given : Point A is located at (2, 6), and D is located at (−4, 10).

To find : The coordinates of the point that lies halfway between A and D.  

Solution : Let Point A (x_1,y_1)=(2,6) and Point D(x_2,y_2)=(-4,10)

Let the point B lies halfway between A and D.

Formula to find the coordinates of the mid point B between A and D is

Substitute the value,

Therefore, Option A

The coordinates of the point B is (-1,8).

justin bieber ml.

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'.