(Geometry) The midpoint of CD is
E (–1, 0). One endpoint is C (5, 2).
What are the coordinates of the other endpoint?

Please explain this step by step, I am really struggling I want to learn how to do this for the future.

Respuesta :

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:

D(-7,-2)

Step-by-step explanation:

Formula for midpoint:

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

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

[tex]E=(\frac{5+a}{2},\frac{2+b}{2})[/tex]

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

[tex](-1,0)=(\frac{5+a}{2},\frac{2+b}{2})[/tex]

On comparing both sides we get

[tex]\frac{5+a}{2}=-1[/tex]

[tex]5+a=-2[/tex]

[tex]a=-2-5[/tex]

[tex]a=-7[/tex]

The value of a is -7.

[tex]\frac{2+b}{2}=0[/tex]

[tex]2+b=0[/tex]

[tex]b=-2[/tex]

The value of b is -2.

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