Question

A student made the table shown below to prove that XY is equal to YZ:


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 triangleXYN ≅triangleZYM
ASA postulate
9 XY = ZY
CPCTC

Provide the missing statement and justification in the proof.
Using complete sentences, explain why the proof would not work without the missing step.

Answer 1

it's asking for the statement and justification for step 4 and why the proof wouldn't work without that step

Answer 2

just to clarify

Answer 3

can you rewrite that answer of yours as a sentence pls, thnx

Answer 4

mm i cant see anything missing :-\
@ganeshie8 what do u think ?

Answer 5

nvm that wan't your answer.... sry. i realized it was you describing the first 3 steps

Answer 6

but now to find that 4th step... hmmm

Answer 7

ohh wait i got it :)
it should mintion that
<NYX=<NYZ+<ZYX (Angle Addition Postulate)
its important cuz you wont go to step 5 without it

Answer 8

alright! thnx so muchhhh. no more questions for me today. :)

Answer 9

ikram

Answer 10

but it asks why it is important

Answer 11

huh ok :)
type in new thread :)

Answer 12

ohh ok so if we have
4_m<NYX=m<NYZ+m<ZYX (Angle Addition Postulate)
5 _m∠MYZ = m∠MYX + m∠XYZ (Angle Addition Postulate )
if we dint type step 4 then , we cant Substitution in step 6
and then we wont use Transitive Property in step 7
the whole proof will fail , if we dint right step 4

Answer 13

righttt, gotcha

Answer 14

^^

Answer 15

you're the best man :)

Answer 16

np :)
ur wlc anytime ^

Answer 17

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 triangleXYN ≅triangleZYM ASA postulate
9 XY = ZY CPCTC