Question

Please answer the full question and make sure to specify which triangle is equal to triangle AMN and by which of the following reasons:
AAA
SAA
SSS
Can not be determined

Answer 1

Answer:

See Below.

Step-by-step explanation:

Statements:                                      Reasons:

$1)\text{ } \overline{MN} \parallel \overline{AO}\text{ and } \overline{AM} \parallel \overline{ON}$              Given

$2)\text{ } AMNO\text{ is a parallelogram}$             Definition of a parallelogram

$3)\text{ } \overline{AM}\cong\overline{ NO}$                                     Opposite sides of a parallelogram are ≅.

$4)\text{ } \overline{MN }\cong\overline{ OA}$                                     Opposites sides of a parallelogram are ≅.

$5)\text{ } \overline{AN}\cong\overline{AN}$                                       Reflexive Property.

$6)\text{ } \Delta AMN\cong \Delta NOA$                          SSS Congruence.

Notes: AAA and SAA are not theorems of congruence.