Respuesta :

Explanation

"Reason" means a mathematical justification for the assert on the left. "Given" means something that doesn't need justification; it's an assumption.

The first statement,

[tex]\bar{FG}\cong\bar{FJ},[/tex]

is given.

The second reason is Base Angles Theorem. Note the word angles in the middle. Its corresponding statement on the left must involve angles. There is only one option involving angles:

[tex]\measuredangle G\cong\measuredangle J.[/tex]

Finally, statement 3 is also in the assumptions made above (tagged by Given:). It's also Given.

Answer

The reason #1 is Given.

The statement 2 is

[tex]\measuredangle G\cong\measuredangle J.[/tex]

The reason #3 is Given.