The midpoint of uv is (5, -10). the coordinates of one endpoint are u(3,6). find the coordinates of endpoint v. how do i use the midpoint formula for this?

The answer is (7, -26) for The second endpoint.  

We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Ux + Vx)/2 = Mx

(Vx + 3)/2 = 5

Vx + 3 = 10

Vx = 7

And now we do the same thing for y values

(Uy + Vy)/2 = My

(Vy + 6)/2 = -10

Vy + 6 = -20

Vy = -26

This gives us the final point of (7, -26)

The coordinates of point V is (7,-26)

Step-by-step explanation:

Let W be the midpoint of line UV

So, Coordinates of W = (x,y) = (5,-10)

We are given that coordinates of point U are =(3,6)

Now to find the coordinates of point V denoted by   , we will use mid point formula since UV is the line and W is its midpoint .

Formula of midpoint :

Now putting values in the formula we will get :

Thus  

⇒

⇒

⇒

⇒

⇒

Now,

⇒

⇒

⇒

⇒

⇒

Thus,   =(7,-26)

Hence ,The coordinates of point V is (7,-26)

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.