Question

The proof that TriangleMNG ≅ TriangleKJG is shown. Given: AngleN and AngleJ are right angles; NG ≅ JG Prove: TriangleMNG ≅ TriangleKJG Triangles M N G and J K G share point G. Angles M N G and G J K are right angles. Sides N G and G J are congruent. What is the missing reason in the proof? A 2-column table has 5 rows. Column 1 is labeled Statement with entries line segment N G is-congruent-to line segment J G, angle N and angle J are right angles, angle M G N is-congruent-to angle K G J, angle N is-congruent-to angle J, triangle M N G is-congruent-to triangle K J G. Column 2 is labeled reason with entries given, given, vertical angles are congruent, right angles are congruent, and question mark. the reflexive property ASA AAS the third angle theorem

Answer 1

Answer

ASA.

Step-by-step explanation:

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Answer 2

The missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.

Recall:

• If two triangles have two pairs of congruent angles and a pair of congruent included sides lying in between the pairs of congruent angles, both triangles can be proved to be congruent to each other by the ASA Congruence Theorem.

In the proof given as shown in the image attached below, having established the fact that both triangles have two pairs of congruent angles, ∠MGN ≅ ∠KGJ and ∠N ≅ ∠J, and the image also shows a pair of included sides that are congruent, GN ≅ GJ, therefore:

• the missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.

Learn more about the ASA Congruence Theorem on:

https://brainly.com/question/2102943