Question

A conjecture and the two-column proof used to prove the conjecture are shown.

Answer 1

Answer:a=29939¥…§|3

Step-by-step explanation:

Answer 2

Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

    Statement                                                        Reason

1. K is the midpoint of segment JL                      Given

2. segment JK ≅ segment KL                             Definition of midpoint

3. L is the midpoint of segment KM                 Given

4. segment KL ≅ segment LM                           Definition of midpoint

5. segment JK ≅ segment LM                           Transitive Property of

                                                                             Congruence

Explanation:

1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL,  the statement follows from the very Definition of midpoint.

2. Second blank: you must add a given statement. The other given statement is segment KL ≅ segment LM .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is segment KL ≅ segment LM .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that  segment JK ≅ segment LM.