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NEED HELP FOR PROOFS! fill in missing step

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(10.03 HC) Look at the figure shown below. A student made the table shown below to prove that XY is equal to YZ. Sample Response Statements Justifications 1. NY = MY Given 2. m∡MYX = m∡NYZ Given 3. m∡XNY = m∡ZMY Given 4. 5. m∡MYZ = m∡MYX + m∡XYZ Angle Addition Postulate 6. m∡MYZ = m∡NYZ + m∡XYZ Substitution 7. m∡NYX = m∡MYZ Transitive Property 8. XYN ≅ ZYM ASA postulate 9. XY = ZY CPCTC A. Provide the missing statement and justification in the proof. B. Using complete sentences, explain why the proof would not work without the missing step.
yea thats the problem

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Other answers:

can u guys help?
@julie001 always post the question, don't upload a docx file. Everyone doesn't have Microsoft word. Thanks Here's the picture
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oh ok
I'll help you here
please do !
i just need to know the step missing
Yeah, but I'm confused, what could be missing!!
lol thats wat im saying
@Zarkon do you have any ideas?
arite thanks anyways i'll just guess
Nope, wait. We'll fill in the missing step
There's something subtle you need to add in.
What do we need to say first when you start adding angles to make 5. m∡MYZ = m∡MYX + m∡XYZ Angle Addition Postulate this valid?
When you start adding congruent angles, there's something you'd have to mention.
You'd need to mention that Angle XYZ = Angle XYZ by the reflexive property :)
Since when you substitute m∡NYZ in #5 5. m∡MYZ = m∡MYX + m∡XYZ 6. m∡MYZ = m∡NYZ + m∡XYZ You proved that MYX = NYZ, but not XYZ = XYZ, that what I meant by 'when you start adding congruent angles'.

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