Question

the proof that △mng≅△kjg is shown. given: ∠n and ∠j are right angles; ng≅jg prove: △mng≅△kjg
statement reason

1. ng≅jg 1. given
2. ∠n and ∠j are right angles 2. given
3. ∠mgn≅∠kgj 3. vert. ∠s are ≅
4. ∠n≅∠j 4. rt. ∠s are ≅
5. △mng≅△kjg 5. ? what is the missing reason in the proof? aas the reflexive property the third angle theorem asa

Explanation:

We have a pair of congruent non - included sides ($\overline{NG}\cong\overline{JG}$) and two pairs of congruent angles ($\angle N\cong\angle J$ and $\angle MGN\cong\angle KGJ$). The Angle - Angle - Side (AAS) congruence criterion states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

A. AAS