Question

Look at the figure shown below.
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

Answer 1

A. Provide the missing statement and justification in the proof.

Answer 2

Where is the figure?

Answer 3

OOPS

Answer 4

After the transitive property, there is another statement which is NY=YM. then only we can conclude ASA postulate.

Answer 5

So the missing statement is NY=YM? and the reason would be ASA postulate?

Answer 6

missing statement NY=YM, reason: given.

Answer 7

isnt that the same as the first one?

Answer 8

Oops my mistake. shall try again.

Answer 9

haha its ok i think my question is a lil confusing looking cuz im trying to find the statement and reason that comes after the first three givens in that big blank spot that should have a number 4 by it

Answer 10

hmm i got it. i think it should be angle NYX = angle NYZ + angle ZYX, reason: angle addition postulate.

Answer 11

mmks thank-you could you explain why you think that like why that statement and why that reason?

Answer 12

what's mmks? haha XD. we need to have both statements: MYZ =MYX + XYZ and NYX=NYZ + XYZ. Later we perform substitution NYX=NYZ and we got MYZ=NYZ + XYZ. then we can prove that MYZ=NYX

Answer 13

lol idk its just what i say sometimes in place of ok i geuss haha and ok thanks =)

Answer 14

i'm sorry. it should be perform substitution MYX=NYZ. typo

Answer 15

its ok =)

Answer 16

Well I guess I should have presented in a better way. anyway if you don't understand feel free to ask me. got to go rite now too tired. XD mmks.lol

Answer 17

i think i got it =) haha and mmks thanks for helping!!