Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. [tex]\angle M\cong \angle X[/tex] - Given
2. [tex]\angle N\cong \angle Y[/tex] - Given
3. [tex]\overline{YO}\cong \overline{NZ}[/tex] - Given
4. [tex]\overline{OZ}\cong \overline{OZ}[/tex] - Reflexive property
5. [tex]YO=ZN[/tex] - Definition of congruent segments
6. [tex]YZ=YO+OZ[/tex] - Segment addition postulate
7. [tex]ON=ZN+OZ[/tex] - Segment addition postulate
8. [tex]YZ=ZN+OZ[/tex] - Substitution property
9. [tex]YZ=ON[/tex] - Substitution property
10. [tex]\triangle MNO\cong \triangle XYZ[/tex] - AAS postulate
