The statement of congruence is: ΔMONX ≅ ΔASTR. The correct option is C.
What is congruence?
Congruence is a term used in geometry to describe the relationship between two geometric figures that have the same shape and size.
Two figures are said to be congruent if they have exactly the same dimensions and shape, and can be transformed into each other by a combination of rotations, reflections, and translations.
In a congruence statement, the order of the vertices matters. The triangles are congruent because they have the same size and shape, and their corresponding sides and angles are equal.
The vertices of ΔMONX correspond to the vertices of ΔASTR in the following way:
M corresponds to A
O corresponds to S
N corresponds to T
X corresponds to R
Therefore, the correct statement of congruence is ΔMONX ≅ ΔASTR, which can also be written as ΔASTR ≅ ΔMONX. The answer is C. ASTR.