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Question

# help with geometry question, 3.9.4 Lesson: 3.9.4 Lesson: Congruent Triangles, Part 2img

src=/qa/attachment/7738661/ a=Screenshot 2019-02-13_09-18-59-128.png /

Identify the proof to show that / JKN =/ MKL, where K is the midpoint of JM and NL, ZL = ZN,
and LM = JN.
J
L
K
N
M
O
1. 2L = ZN (given)
2. K is midpoint of JM and NL (given)
3. JK = KM; NK = KL
(definition of midpoint)
4. LM ~ JK (given)
5. 2JKN ~ ZLKM (vertical angles theorem)
6. 2J = ZM (third angles theorem)
7. 4 JKN =/ MKL
(definition of congruent triangles)
O
1. 2L = ZN (given)
2. K is midpoint of JM and NL (given)
3. JK = KM; NK ~ KL
(definition of midpoint)
4. LM = JN (given)
5. 2JKN ~ ZLKM (vertical angles theorem)
6. 2J ~ ZM (third angles theorem)
7. 4 JKN = MKL
(definition of congruent triangles)
O
1. 21 = ZN (given)
2. K is midpoint of JM and NL (given)
3. JK = ML; NK ~ KL
(definition of midpoint)
4. LM = JN (given)
5. 2JKN ~ ZLKM (vertical angles theorem)
6. 2J = ZM (third angles theorem)
7. A JKN =A MKL
(definition of congruent triangles)
Math