Question

Match the line segments with their lengths. If necessary, round your answers to the nearest hundredth.
4.25 units 5 units 4.12 units 5.39 units

Answer 1

d(D,E) = 4.12 units.
d(F,G) = 5.39 units.
d(J,K) = 5 units.
d(L,M) = 4.242640687 units =4.24 units.
I hope it helps you.

Answer 2

Answer:

Step-by-step explanation:

From the given graphs and given information, we have

D=(-2,-4), E=(2,-3)

Now, using the distance formula, we get

$DE=\sqrt{(2+2)^2+(-3+4)^2}$

⇒$DE=\sqrt{16+1}$

⇒$DE={\sqrt{17}=4.12 units$

Also, F=(-3,1), G=(2,3)

Now, using the distance formula, we get

$FG=\sqrt{(2+3)^2+(3-1)^2}$

⇒$DE=\sqrt{25+4}$

⇒$DE={\sqrt{29}=5.39 units$

Also, J=(5,2), K=(2,-2)

Now, using the distance formula, we get

$JK=\sqrt{(2-5)^2+(-2-2)^2}$

⇒$DE=\sqrt{9+16}$

⇒$DE={\sqrt{25}=5 units$

And, L=(-5,1), M=(-2,-2)

Now, using the distance formula, we get

$LM=\sqrt{(-2+5)^2+(-2-1)^2}$

⇒$DE=\sqrt{9+9}$

⇒$DE={\sqrt{18}=4.25 units$