The congruence statement ∆MNO ≅ ∆UTE asserts the equality of corresponding angles and sides between Triangle MNO and Triangle UTE.
A congruence statement asserts the equality of corresponding parts of congruent geometric figures. In the case of Triangle MNO and Triangle UTE, we need to identify corresponding elements such as angles and sides.
Assuming the triangles are congruent, we can use the corresponding vertices to establish the congruence statement. Let's denote the vertices as follows:
Triangle MNO with vertices M, N, and O.
Triangle UTE with vertices U, T, and E.
The congruence statement can be written as:
∆MNO ≅ ∆UTE
This statement implies that the three corresponding angles and three corresponding sides of Triangle MNO are congruent to those of Triangle UTE. It is important to list the vertices in the correct order to maintain the correspondence between the triangles.
Additionally, we can express the congruence using the corresponding parts:
NO ≅ TE (corresponding sides)
MO ≅ UE (corresponding sides)
MN ≅ UT (corresponding sides)
∠M ≅ ∠U (corresponding angles)
∠N ≅ ∠T (corresponding angles)
∠O ≅ ∠E (corresponding angles)
In summary, the congruence statement for Triangle MNO and Triangle UTE is ∆MNO ≅ ∆UTE, indicating the equality of corresponding angles and sides between the two triangles.
The question probable may be:
Write a congruence statement for each pair of congruent figures: Triangle MNO and triangle UTE.