Answer:
Option C is correct.
LA theorem is a special case of the AAS theorem and the ASA postulates.
Step-by-step explanation:
LA(Leg - Acute) theorem states that given two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and that the leg of the other triangle, then the two triangles are congruent.
AAS (Angle Angle Side) theorem states that in the two triangles, if two angles and one side of a triangle are congruent to two angles and one side of a second triangle, then the two triangles are congruent.
ASA (Angle Side Angle) postulates states that if two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Consider a right triangle, which has always a right angle(i.e 90 degree). Therefore, if any two right triangles must always have at least one pair of angles that are congruent.
This means that when conduct with right triangles, one leg and one acute angle of each triangle must be congruent for the two triangles to be congruent.
This is a LA theorem, we see that the LA theorem is a special case of the AAS theorem and the ASA postulates.
