Answer:
Option A is correct.
Yes, it is true that the triangles shown are congruent.
Step-by-step explanation:
Labelled the diagram as shown below in the attachment:
In triangle ABC and triangle PQR
[tex]\angle ABC \cong \angle PQR = 90^{\circ}[/tex] [Angle]
[tex]\angle ACB \cong \angle QPR = 40^{\circ}[/tex] [Angle]
[tex]AC \cong PR = 12[/tex] units [Side]
AAS(Angle-Angle-Side) postulates states that the two angles and the non- included side of one triangle are congruent to the two angles and the non-included side of the other triangle., then the triangles are congruent.
Then, by AAS
[tex]\triangle ABC \cong \triangle PQR[/tex]
Therefore, the given triangles shown must be congruent.
