Such triangles are similar.
If the 3 sides are proportional by ratio and the angles remain the same then the two triangles are similar
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
It is not an axiom, but a theorem.
No- triangles with all angles respectively equal need not be congruent. For example, all equilateral triangles have 3 angles of 60 degrees each but the the sides could be any length. However the sides of such triangles are proportional - such triangles are called similar. They look alike except for their scale.
aa. If the angles are equal and the triangles are right triangles, then all three angles are equal, but the sides can grow or shrink, as long as they remain proportional.
It is a congruence theorem for triangles. It states that if you have two triangles in which two sides of one are congruent to two sides of the other, and the angles included by the sides are equal, then the triangles are congruent.