Question

Is this correct? two column proof for triangles

Answer 1

image attached. my answer:

LJ bisects ∠KLM and ∠MJK ; Given

∠KLJ = ∠MLK ; Definition of bisected angles

∠KJL = ∠MJL ; Definition of bisected angles

LJ = JL ; Symmetric Property

△LKJ = △LMJ ; ASA Congruency Property

Answer 2

@mathstudent55

Answer 3

LJ bisects ∠KLM and ∠MJK ; Given

\(\color{red}{∠KLJ = ∠MLK} ; \(\color{red}{Definition ~of ~angle~ bisector}\)_

∠KJL = ∠MJL ; \(\color{red}{Definition ~of ~angle~ bisector}\)

LJ = JL ; \(\color{red}{Symmetric ~Property}\)

△LKJ = △LMJ ; \(\color{red}{ASA}\)

Answer 4

Line 1 is all correct.
Line 2:
Statement: look at the angles. One is not named correctly.
Reason: I prefer the wording I used

Answer 5

Line 3:
Statement is ok.
Reason: I prefer my wording

Answer 6

Line 4:
Statement is correct
Reason: LJ and JL are the same length. They both stand for the length of segment LJ.
Stating that something is equal to itself is not the symmetric property.

Answer 7

Line 5:
Statement is fine
Reason: ASA is not a property. It is either a postulate or a theorem depending on how your textbook has it. I would write just ASA as I did above.

Answer 8

BTW, I'd change statement 4 to \(\overline{LJ} \cong \overline {LJ}\)

Answer 9

Also, all the statements that use the equal sign need the congruent symbol instead.

Answer 10

You may think I'm too critical, but in reality, your proof is very good. Your steps are correct and in the right order. You just need some of the details to be fixed to be 100% correct. You're on the right track.