Answer:
The fourth option is the answer.
Step-by-step explanation:
Use distance formula
[tex] {x}^{2} + {y}^{2} = {d}^{2} [/tex]
where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.
[tex] {3}^{2} + {6}^{2} = 45[/tex]
Set 45 equal to d^2.
[tex]45 = {d}^{2} [/tex]
[tex] \sqrt{45} = d[/tex]
[tex]3 \sqrt{5} = d[/tex]
L and M have the same distance between points as well. so they are congruent.
