Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ } \overline{MN} \parallel \overline{AO}\text{ and } \overline{AM} \parallel \overline{ON}[/tex] Given
[tex]2)\text{ } AMNO\text{ is a parallelogram}[/tex] Definition of a parallelogram
[tex]3)\text{ } \overline{AM}\cong\overline{ NO}[/tex] Opposite sides of a parallelogram are ≅.
[tex]4)\text{ } \overline{MN }\cong\overline{ OA}[/tex] Opposites sides of a parallelogram are ≅.
[tex]5)\text{ } \overline{AN}\cong\overline{AN}[/tex] Reflexive Property.
[tex]6)\text{ } \Delta AMN\cong \Delta NOA[/tex] SSS Congruence.
Notes: AAA and SAA are not theorems of congruence.
