what are the missing reasons in the 2 column proof?

Given: JM = ML and m<JMK > m<KML
Prove: JK > KL

Statements Reasons
1. JM = ML 1. Given
2. KM = KM 2. ?
3. m<JMK > m<KML 3. Given
4. JK > KL 4. ?

I think 2 is reflection but im not positive. and I have no clue about 4.

2. Reflexive Property

4. Hinge Theorem

2 is reflexive property

I think 4 is AAS theorem

To determine the missing reasons in the 2 column proof, let's analyze the given information and the statements provided.

Given: JM = ML and m<JMK > m<KML

1. JM = ML - This statement is given.
2. KM = KM - To identify the reason for statement 2, we need to look for any information provided or any property that guarantees this statement. From the given information, we only know that JM = ML. There is no direct evidence or relationship given to support the statement KM = KM. As a result, it is important to consider if additional information is missing or if there is a typographical error in the proof.

3. m<JMK > m<KML - This statement is given.

4. JK > KL - This statement is the desired conclusion or wanted result of the proof.

Based on the information provided, there is no clear reason or logical connection for statement 2. It is not possible to determine the reason for statement 2 without additional information.

As for statement 4, we can use the given information to determine a reason. Since JM = ML and m<JMK > m<KML, we can conclude that triangle JMK is not congruent to triangle KML (because the corresponding angles are not congruent). Therefore, we can apply the SSS (Side-Side-Side) inequality theorem, which states that if the corresponding sides of two triangles are in proportion, then the triangles are congruent. In this case, since JM = ML and JMK > KML, we can infer that JK > KL.

In summary:
1. JM = ML - Given
2. KM = KM - Unable to determine the reason without additional information.
3. m<JMK > m<KML - Given
4. JK > KL - Applied the side-side-side inequality theorem based on the given information.

Note: It is important to have all the necessary information and logical reasoning to complete a valid two-column proof.

did u get the answers