Question

The midpoint of EF is M (4,10) one endpoint is E (2,6). Find the coordinates of the of the other endpoints F.

6,14
6,17
10,17
14,8

Answer 1

Answer: Other point F ( 6 ,14).

Step-by-step explanation:

Given : The midpoint of EF is M(4, 10). One endpoint is E(2, 6).

To find : Find the coordinates of the other endpoint F.

Solution : We have given that

Line EF have mid point M ( 4 ,10)

One end point E ( 2 ,6) .

Let other point F ( )

Mid point segment formula ( M) : .

= 4

Plug = 2.

= 4

On multiplying both side by 2

2 + = 8

= 8- 2

= 6.

= 10.

Plug = 6.

= 10.

On multiplying both side by 2

6 + = 20

= 20 - 6

= 14.

Therefore, Other point F ( 6 ,14).

Answer 2

midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(2,6)...x1 = 2 and y1 = 6
(x,y)...x2 = x and y2 = y
sub
(2 + x) / 2, (6 + y) / 2 = (4,10)

(2 + x) / 2 = 4
2 + x = 4 * 2
2 + x = 8
x = 8 - 2
x = 6

(6 + y)/2 = 10
6 + y = 10 * 2
6 + y = 20
y = 20 - 6
y = 14

so ur other endpoint is (6,14) <==