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

Statements Justifications

NY = MY

Given

m∡MYX = m∡NYZ

Given

m∡XNY = m∡ZMY

Given

m∡MYZ = m∡MYX + m∡XYZ

Angle Addition Postulate

m∡MYZ = m∡NYZ + m∡XYZ

Substitution

m∡NYX = m∡MYZ

Transitive Property

triangleXYN ≅ triangleZYM

ASA postulate

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.

Question

A student made the table shown below to prove that XY is equal to YZ.

Statements	Justifications

    NY = MY

	Given

    m∡MYX = m∡NYZ

	Given

    m∡XNY = m∡ZMY

	Given

	 

    m∡MYZ = m∡MYX + m∡XYZ

	Angle Addition Postulate

    m∡MYZ = m∡NYZ + m∡XYZ

	Substitution

    m∡NYX = m∡MYZ

	Transitive Property

    triangleXYN ≅ triangleZYM

	ASA postulate

    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.

anonymous · Answer

attachment

anonymous · Answer

Is the answer m∡myz = m∡myx + m∡xyz 4. Angle Addition Postulate

anonymous · Answer

Someone help please

anonymous · Answer

ok there are two triangle 1 is NYX 2.ZYM

anonymous · Answer

ok

anonymous · Answer

WHAT IS CPCTC

anonymous · Answer

CPCTC  stands for 2 triangles are congruent if and only if their corresponding parts are congruent

anonymous · Answer

ok 
and  that is ur answer for part B just replace and by because

anonymous · Answer

what???

anonymous · Answer

and for part A is SAS

anonymous · Answer

how

anonymous · Answer

because NY = YM and angle Y for both triangle is same

anonymous · Answer

thats why is SAS

anonymous · Answer

and for part B  the proof would not work without the missing step beacuse 2 triangles are congruent if  their corresponding parts are congruent.

anonymous · Answer

do u get it now

anonymous · Answer

kind of

anonymous · Answer

ok what do u not understand

anonymous · Answer

so is not that the answer 
m∡myz = m∡myx + m∡xyz 4. Angle Addition Postulate

nikato · Answer

ok, this is simply.
u r missing NYX=NYZ+XYZ
becuz of angle addition property.
u need this step in order for u to say transitive

anonymous · Answer

Oh you know what the missing step isn't after the CPCTC

anonymous · Answer

it's after m∡XNY = m∡ZMY Given

nikato · Answer

wait, im confuse about what u r talking about^

anonymous · Answer

ok sorry i made a mistake it is ASA

anonymous · Answer

oh I was talking to saba.khan

anonymous · Answer

nikato i think u r right but what i was confused on was the reason why u needed it

nikato · Answer

ok. nvm then

anonymous · Answer

you are finding XY = ZY right

nikato · Answer

becuz u have
MYZ=MYX+XYZ  AAP

MYZ=NYZ+XYZ  substitution

NYX=NYZ+XYZ  AAP

then u can say MYZ=NYX by transitive

nikato · Answer

so u NEED that 3rd step^, which is what is missing

anonymous · Answer

wait i have write all that as my missing steps???

nikato · Answer

no just the 3rd one is. 
NYX=NYZ+XYZ by AAP

the others are in the rpoblem already

anonymous · Answer

oh yes and the reason you need it becuz of the transitive

anonymous · Answer

but y the transitive property

nikato · Answer

well the reason for taht step is angle addition postulate.
but u need taht step in order to say transitive

nikato · Answer

the transitive is in ur problem

nikato · Answer

but u needded a step before it in order to do it

anonymous · Answer

okay thank you so much for making it more clear becuz i was totally confuse. Geometry is not my strongest subject. Thanks a much

nikato · Answer

no problem. and yea, i find geomtry very hard too.