Question

(Geometry) The midpoint of CD is

Answer 1

Answer:

D(0,5)

Step-by-step explanation:

for me I first had to mark the points on a graph then I connected the dots I know then point C I had to connect straight down to x (0) and it made a right angle. I hope that helps make sure to ask me more questions I'm free to help

Answer 2

Answer:

D(-7,-2)

Step-by-step explanation:

Formula for midpoint:

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

It is given that the midpoint of CD is E (–1, 0) and the coordinates of C are (5,2).

Let the coordinates of other endpoint are (a,b), then coordinates of E are

$E=(\frac{5+a}{2},\frac{2+b}{2})$

It is given that the coordinates of E are (–1, 0).

$(-1,0)=(\frac{5+a}{2},\frac{2+b}{2})$

On comparing both sides we get

$\frac{5+a}{2}=-1$

$5+a=-2$

$a=-2-5$

$a=-7$

The value of a is -7.

$\frac{2+b}{2}=0$

$2+b=0$

$b=-2$

The value of b is -2.

Therefore the coordinates of the other endpoint are D(-7,-2).