Question

complete the following flow proofs by filling in the missing reasons to prove that the two triangles are congruent. if something is already marked, write “given”. 7. ∠uwv≅∠mkv ∠uvw≅∠mvk given △__≅△__

Explanation:

Step1: Identify the angle - angle - side (AAS) congruence criterion

We have two pairs of congruent angles ($\angle UWV\cong\angle MKV$ and $\angle UVW\cong\angle MVK$) and a non - included side (the side between the non - congruent angles). If we assume that one of the non - included sides are congruent (the given side), we can use AAS to prove triangle congruence.

Step2: Name the congruent triangles

The two triangles are $\triangle UWV$ and $\triangle MKV$.

Answer:

The missing reasons could be: One of the non - included sides is congruent (Given). And $\triangle UWV\cong\triangle MKV$ by the Angle - Angle - Side (AAS) congruence criterion.