Question

Complete the congruence statement.

G
H
I
T
U
S
80°
59°
41°
80°
59°
41°
15 mi
22 mi
19 mi
15 mi
22 mi
19 mi

GHI ≅

Answer 1

To complete the congruence statement, you first need to identify which triangles correspond based on the congruence criteria.

From the data you provided, let's analyze the triangles formed by the points \(G\), \(H\), \(I\), and the angles and sides you listed. It seems like you might be trying to indicate the congruence between triangles based on either angle-angle-side (AAS), angle-side-angle (ASA), or side-side-side (SSS) congruence.

Given the provided angles and distances, let's pair them appropriately:

- \( \angle G = 80^\circ\) corresponds to \( \angle U = 80^\circ\)
- \( \angle H = 59^\circ\) corresponds to \( \angle T = 59^\circ\)
- \( \angle I = 41^\circ\) corresponds to \( \angle S = 41^\circ\)

For the sides:
- \( GH = 15 \, \text{mi}\) corresponds to \( UT = 15 \, \text{mi}\)
- \( HI = 22 \, \text{mi}\) corresponds to \( TS = 22 \, \text{mi}\)
- \( GI = 19 \, \text{mi}\) corresponds to \( US = 19 \, \text{mi}\)

From this information, you can conclude that:

\[ \triangle GHI \cong \triangle UTS \]

So the complete congruence statement is:

\[ GHI \cong UTS \]