Question

We can find the length of FG using the Distance Formula:

Answer 1

Also, FG=(2)^2+(-4)^2
FG=4+16
FG=20
so see which ones end up with 20

not A
not B
not C
D is the answer

Answer 2

Answer:   D. $FG^2 = 4^2 + 2^2$

Step-by-step explanation:

Given: We can find the length of FG using the Distance Formula:

[Distance formula to find length of line from point $(x_1,y_1)$ to point $(x_2,y_2$ is given by :-

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2})\\\\\Rightarrow d^2=(x_2-x_1)^2+(y_2-y_1)^2$]

$FG^2 =(3 - 1)^2 + (-1 - 3)^2$

Since, $3-1=2$ and $-1-3=-(1+3)=-4$

Therefore,  $FG^2 =(2)^2 + (-4)^2=2^2+((4)(-1))^2=2^2+4^2(-1)^2=2^2+4^2$

Hence, the formula also represents the length of FG is $FG^2 = 4^2 + 2^2$.