Question

k is the midpoint of segment jl.5) check all that are true based on the given information and the diagram above.$square$ $jk cong lk$ (definition of midpoint)$square$ $jk cong lk$ (definition of bisect)$square$ $mj cong ml$ (hypotenuses)$square$ $km cong km$ (reflexive property)$square$ $angle j cong angle l$ (definition of midpoint)

Explanation:

1. A midpoint divides a segment into two congruent parts, so $JK \cong LK$ by midpoint definition is true.
2. Bisecting a segment also creates two congruent parts, so $JK \cong LK$ by bisect definition is true.
3. There is no indication that $\angle JKM$ or $\angle LKM$ are right angles, so $MJ$ and $ML$ are not confirmed hypotenuses, making this false.
4. Any segment is congruent to itself by the reflexive property, so $KM \cong KM$ is true.
5. The midpoint definition does not relate to angle congruence, and there is no proof $\angle J \cong \angle L$, making this false.

Answer:

• $JK \cong LK$ (Definition of midpoint)
• $JK \cong LK$ (Definition of bisect)
• $KM \cong KM$ (Reflexive property)