Question

PROOFS HELP!


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

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 1

The spot missing is after m∡XNY = m∡ZMY | Given and before m∡MYZ = m∡MYX + m∡XYZ | Angle Addition Postulate

Answer 2

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
XYN ≅ ZYM
ASA postulate
XY = ZY
CPCTC