Question

Find the lengths of LM⎯⎯⎯⎯⎯⎯ and PQ⎯⎯⎯⎯⎯ and determine whether they are congruent.

Answer 1

Answer:

5;5 and 65; they are congruent

Answer 2

Answer:

The fourth option is the answer.

Step-by-step explanation:

Use distance formula

${x}^{2} + {y}^{2} = {d}^{2}$

where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.

${3}^{2} + {6}^{2} = 45$

Set 45 equal to d^2.

$45 = {d}^{2}$

$\sqrt{45} = d$

$3 \sqrt{5} = d$

L and M have the same distance between points as well. so they are congruent.