Question

NEED HELP FOR PROOFS! fill in missing step

Answer 1

(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.

Answer 2

yea thats the problem

Answer 3

can u guys help?

Answer 4

@julie001 always post the question, don't upload a docx file. Everyone doesn't have Microsoft word.
Thanks
Here's the picture

Answer 5

oh ok

Answer 6

I'll help you here

Answer 7

please do !

Answer 8

i just need to know the step missing

Answer 9

Yeah, but I'm confused, what could be missing!!

Answer 10

lol thats wat im saying

Answer 11

@Zarkon do you have any ideas?

Answer 12

arite thanks anyways i'll just guess

Answer 13

Nope, wait. We'll fill in the missing step

Answer 14

There's something subtle you need to add in.

Answer 15

;D

Answer 16

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?

Answer 17

When you start adding congruent angles, there's something you'd have to mention.

Answer 18

You'd need to mention that Angle XYZ = Angle XYZ by the reflexive property :)

Answer 19

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'.