If ll the angles of one triangle are the same as the angles of another triangle they are similar. Rotation is always allowed and mirroring often can be allowed.
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It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
If the 3 interior angles are the same then the triangles are similar
Similar triangles
Only right triangles.