The midpoint of CD is E(–1, 0). One endpoint is C (5, 2). What are the coordinates of the other endpoint?
E is as far from C as it is from D. So,
CE = E-C = (-1-5,0-2) = (-6,-2)
So, add that much to E and you get
D = E+(E-C) = (-1,0)+(-6,-2) = (-7,-2)
wouldnt it be (-7,-2)
Bro what is the answer… I- ☹️
go to desmos and put in
(-1,0) - (5,2) on the same line
It will give you -6,-2
add that to the original point
-6,-2+-1,0=-7,-2
that's it -7,-2 is the other point
Its increasing right? I think you should flip it, x_2-x_1 and y_2 - y_1. Put on a graph, the answer you wrote would make no sense really.
mudosa
To find the coordinates of the other endpoint of CD, we can use the formula for finding the midpoint of a line segment. The formula states that the coordinates of the midpoint (M) between two endpoints (A and B) are given by:
M = ((x1 + x2)/2, (y1 + y2)/2)
Here, we know that the midpoint E is (-1, 0) and one endpoint C is (5, 2).
Let's assume the coordinates of the other endpoint as (x, y).
Using the midpoint formula, we can set up the following equation:
(-1, 0) = ((5 + x)/2, (2 + y)/2)
Now, we need to solve this equation to find the values of x and y.
First, let's solve for x:
(-1, 0) = ((5 + x)/2, (2 + y)/2)
-1 = (5 + x)/2
Multiply both sides of the equation by 2:
-1 * 2 = 5 + x
-2 = 5 + x
Solving for x, we subtract 5 from both sides:
-7 = x
Now, let's solve for y:
(-1, 0) = ((5 + x)/2, (2 + y)/2)
0 = (2 + y)/2
Multiply both sides of the equation by 2:
0 * 2 = 2 + y
0 = 2 + y
Solving for y, we subtract 2 from both sides:
-2 = y
So, the coordinates of the other endpoint are (-7, -2).
Therefore, the other endpoint of CD is D (-7, -2).